Finding the Third Proportional to 25,280 and 58,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,280 : 58,624 = 58,624 : x
2. Step 2: Convert to fraction form
   25,280/58,624 = 58,624/x
3. Step 3: Cross multiply
   25,280x = 58,624 × 58,624
4. Step 4: Simplify right side
   25,280x = 3,436,773,376
5. Step 5: Solve for x
   x = 3,436,773,376/25,280
6. Step 6: Final answer
   x = 135,948.31