Finding the Third Proportional to 25,150 and 37,727

Step by Step Solution

1. Step 1: Write the proportion equation
   25,150 : 37,727 = 37,727 : x
2. Step 2: Convert to fraction form
   25,150/37,727 = 37,727/x
3. Step 3: Cross multiply
   25,150x = 37,727 × 37,727
4. Step 4: Simplify right side
   25,150x = 1,423,326,529
5. Step 5: Solve for x
   x = 1,423,326,529/25,150
6. Step 6: Final answer
   x = 56,593.50