Finding the Third Proportional to 25,506 and 37,448

Step by Step Solution

1. Step 1: Write the proportion equation
   25,506 : 37,448 = 37,448 : x
2. Step 2: Convert to fraction form
   25,506/37,448 = 37,448/x
3. Step 3: Cross multiply
   25,506x = 37,448 × 37,448
4. Step 4: Simplify right side
   25,506x = 1,402,352,704
5. Step 5: Solve for x
   x = 1,402,352,704/25,506
6. Step 6: Final answer
   x = 54,981.29