Finding the Third Proportional to 35,892.75 and 52,729.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,892.75 : 52,729.25 = 52,729.25 : x
2. Step 2: Convert to fraction form
   35,892.75/52,729.25 = 52,729.25/x
3. Step 3: Cross multiply
   35,892.75x = 52,729.25 × 52,729.25
4. Step 4: Simplify right side
   35,892.75x = 2,780,373,805.56
5. Step 5: Solve for x
   x = 2,780,373,805.56/35,892.75
6. Step 6: Final answer
   x = 77,463.38