Finding the Third Proportional to 31,506 and 64,452

Step by Step Solution

1. Step 1: Write the proportion equation
   31,506 : 64,452 = 64,452 : x
2. Step 2: Convert to fraction form
   31,506/64,452 = 64,452/x
3. Step 3: Cross multiply
   31,506x = 64,452 × 64,452
4. Step 4: Simplify right side
   31,506x = 4,154,060,304
5. Step 5: Solve for x
   x = 4,154,060,304/31,506
6. Step 6: Final answer
   x = 131,849.82