Finding the Third Proportional to 64,500 and 99,624

Step by Step Solution

1. Step 1: Write the proportion equation
   64,500 : 99,624 = 99,624 : x
2. Step 2: Convert to fraction form
   64,500/99,624 = 99,624/x
3. Step 3: Cross multiply
   64,500x = 99,624 × 99,624
4. Step 4: Simplify right side
   64,500x = 9,924,941,376
5. Step 5: Solve for x
   x = 9,924,941,376/64,500
6. Step 6: Final answer
   x = 153,875.06