Finding the Third Proportional to 5,093,658 and 7,706,106

Step by Step Solution

1. Step 1: Write the proportion equation
   5,093,658 : 7,706,106 = 7,706,106 : x
2. Step 2: Convert to fraction form
   5,093,658/7,706,106 = 7,706,106/x
3. Step 3: Cross multiply
   5,093,658x = 7,706,106 × 7,706,106
4. Step 4: Simplify right side
   5,093,658x = 59,384,069,683,236
5. Step 5: Solve for x
   x = 59,384,069,683,236/5,093,658
6. Step 6: Final answer
   x = 11,658,432.84