Finding the Third Proportional to 51,901.31 and 77,581.69

Step by Step Solution

1. Step 1: Write the proportion equation
   51,901.31 : 77,581.69 = 77,581.69 : x
2. Step 2: Convert to fraction form
   51,901.31/77,581.69 = 77,581.69/x
3. Step 3: Cross multiply
   51,901.31x = 77,581.69 × 77,581.69
4. Step 4: Simplify right side
   51,901.31x = 6,018,918,235.35
5. Step 5: Solve for x
   x = 6,018,918,235.35/51,901.31
6. Step 6: Final answer
   x = 115,968.52