Finding the Third Proportional to 15,744 and 37,114

Step by Step Solution

1. Step 1: Write the proportion equation
   15,744 : 37,114 = 37,114 : x
2. Step 2: Convert to fraction form
   15,744/37,114 = 37,114/x
3. Step 3: Cross multiply
   15,744x = 37,114 × 37,114
4. Step 4: Simplify right side
   15,744x = 1,377,448,996
5. Step 5: Solve for x
   x = 1,377,448,996/15,744
6. Step 6: Final answer
   x = 87,490.41