Finding the Third Proportional to 35,734.50 and 52,530

Step by Step Solution

1. Step 1: Write the proportion equation
   35,734.50 : 52,530 = 52,530 : x
2. Step 2: Convert to fraction form
   35,734.50/52,530 = 52,530/x
3. Step 3: Cross multiply
   35,734.50x = 52,530 × 52,530
4. Step 4: Simplify right side
   35,734.50x = 2,759,400,900
5. Step 5: Solve for x
   x = 2,759,400,900/35,734.50
6. Step 6: Final answer
   x = 77,219.52