Finding the Third Proportional to 51,809.50 and 77,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,809.50 : 77,393.50 = 77,393.50 : x
2. Step 2: Convert to fraction form
   51,809.50/77,393.50 = 77,393.50/x
3. Step 3: Cross multiply
   51,809.50x = 77,393.50 × 77,393.50
4. Step 4: Simplify right side
   51,809.50x = 5,989,753,842.25
5. Step 5: Solve for x
   x = 5,989,753,842.25/51,809.50
6. Step 6: Final answer
   x = 115,611.11