Finding the Third Proportional to 51,114.38 and 77,591.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,114.38 : 77,591.25 = 77,591.25 : x
2. Step 2: Convert to fraction form
   51,114.38/77,591.25 = 77,591.25/x
3. Step 3: Cross multiply
   51,114.38x = 77,591.25 × 77,591.25
4. Step 4: Simplify right side
   51,114.38x = 6,020,402,076.56
5. Step 5: Solve for x
   x = 6,020,402,076.56/51,114.38
6. Step 6: Final answer
   x = 117,782.95