Finding the Third Proportional to 5,139,032,627,088 and 7,774,752,107,136

Step by Step Solution

1. Step 1: Write the proportion equation
   5,139,032,627,088 : 7,774,752,107,136 = 7,774,752,107,136 : x
2. Step 2: Convert to fraction form
   5,139,032,627,088/7,774,752,107,136 = 7,774,752,107,136/x
3. Step 3: Cross multiply
   5,139,032,627,088x = 7,774,752,107,136 × 7,774,752,107,136
4. Step 4: Simplify right side
   5,139,032,627,088x = 60,446,770,327,415,668,896,432,128
5. Step 5: Solve for x
   x = 60,446,770,327,415,668,896,432,128/5,139,032,627,088
6. Step 6: Final answer
   x = 11,762,285,767,324.94