Finding the Third Proportional to 6,746,408,377,151 and 10,277,686,502,586

Step by Step Solution

1. Step 1: Write the proportion equation
   6,746,408,377,151 : 10,277,686,502,586 = 10,277,686,502,586 : x
2. Step 2: Convert to fraction form
   6,746,408,377,151/10,277,686,502,586 = 10,277,686,502,586/x
3. Step 3: Cross multiply
   6,746,408,377,151x = 10,277,686,502,586 × 10,277,686,502,586
4. Step 4: Simplify right side
   6,746,408,377,151x = 105,630,839,845,438,445,785,710,592
5. Step 5: Solve for x
   x = 105,630,839,845,438,445,785,710,592/6,746,408,377,151
6. Step 6: Final answer
   x = 15,657,344,462,453.99