Finding the Third Proportional to 25,604 and 37,569

Step by Step Solution

1. Step 1: Write the proportion equation
   25,604 : 37,569 = 37,569 : x
2. Step 2: Convert to fraction form
   25,604/37,569 = 37,569/x
3. Step 3: Cross multiply
   25,604x = 37,569 × 37,569
4. Step 4: Simplify right side
   25,604x = 1,411,429,761
5. Step 5: Solve for x
   x = 1,411,429,761/25,604
6. Step 6: Final answer
   x = 55,125.36