Finding the Third Proportional to 25,624 and 37,592

Step by Step Solution

1. Step 1: Write the proportion equation
   25,624 : 37,592 = 37,592 : x
2. Step 2: Convert to fraction form
   25,624/37,592 = 37,592/x
3. Step 3: Cross multiply
   25,624x = 37,592 × 37,592
4. Step 4: Simplify right side
   25,624x = 1,413,158,464
5. Step 5: Solve for x
   x = 1,413,158,464/25,624
6. Step 6: Final answer
   x = 55,149.80