Finding the Third Proportional to 37,502 and 52,744

Step by Step Solution

1. Step 1: Write the proportion equation
   37,502 : 52,744 = 52,744 : x
2. Step 2: Convert to fraction form
   37,502/52,744 = 52,744/x
3. Step 3: Cross multiply
   37,502x = 52,744 × 52,744
4. Step 4: Simplify right side
   37,502x = 2,781,929,536
5. Step 5: Solve for x
   x = 2,781,929,536/37,502
6. Step 6: Final answer
   x = 74,180.83