Finding the Third Proportional to 35,468 and 52,500

Step by Step Solution

1. Step 1: Write the proportion equation
   35,468 : 52,500 = 52,500 : x
2. Step 2: Convert to fraction form
   35,468/52,500 = 52,500/x
3. Step 3: Cross multiply
   35,468x = 52,500 × 52,500
4. Step 4: Simplify right side
   35,468x = 2,756,250,000
5. Step 5: Solve for x
   x = 2,756,250,000/35,468
6. Step 6: Final answer
   x = 77,710.89