Finding the Third Proportional to 51,398.16 and 77,096.81

Step by Step Solution

1. Step 1: Write the proportion equation
   51,398.16 : 77,096.81 = 77,096.81 : x
2. Step 2: Convert to fraction form
   51,398.16/77,096.81 = 77,096.81/x
3. Step 3: Cross multiply
   51,398.16x = 77,096.81 × 77,096.81
4. Step 4: Simplify right side
   51,398.16x = 5,943,918,497.66
5. Step 5: Solve for x
   x = 5,943,918,497.66/51,398.16
6. Step 6: Final answer
   x = 115,644.59