Finding the Third Proportional to 51,397.59 and 77,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,397.59 : 77,096.25 = 77,096.25 : x
2. Step 2: Convert to fraction form
   51,397.59/77,096.25 = 77,096.25/x
3. Step 3: Cross multiply
   51,397.59x = 77,096.25 × 77,096.25
4. Step 4: Simplify right side
   51,397.59x = 5,943,831,764.06
5. Step 5: Solve for x
   x = 5,943,831,764.06/51,397.59
6. Step 6: Final answer
   x = 115,644.16