Finding the Third Proportional to 51,805.50 and 77,387.63

Step by Step Solution

1. Step 1: Write the proportion equation
   51,805.50 : 77,387.63 = 77,387.63 : x
2. Step 2: Convert to fraction form
   51,805.50/77,387.63 = 77,387.63/x
3. Step 3: Cross multiply
   51,805.50x = 77,387.63 × 77,387.63
4. Step 4: Simplify right side
   51,805.50x = 5,988,844,503.14
5. Step 5: Solve for x
   x = 5,988,844,503.14/51,805.50
6. Step 6: Final answer
   x = 115,602.48