Finding the Third Proportional to 25,878 and 37,632

Step by Step Solution

1. Step 1: Write the proportion equation
   25,878 : 37,632 = 37,632 : x
2. Step 2: Convert to fraction form
   25,878/37,632 = 37,632/x
3. Step 3: Cross multiply
   25,878x = 37,632 × 37,632
4. Step 4: Simplify right side
   25,878x = 1,416,167,424
5. Step 5: Solve for x
   x = 1,416,167,424/25,878
6. Step 6: Final answer
   x = 54,724.76