Finding the Third Proportional to 25,024 and 39,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,024 : 39,624 = 39,624 : x
2. Step 2: Convert to fraction form
   25,024/39,624 = 39,624/x
3. Step 3: Cross multiply
   25,024x = 39,624 × 39,624
4. Step 4: Simplify right side
   25,024x = 1,570,061,376
5. Step 5: Solve for x
   x = 1,570,061,376/25,024
6. Step 6: Final answer
   x = 62,742.22