Finding the Third Proportional to 37,500 and 52,254

Step by Step Solution

1. Step 1: Write the proportion equation
   37,500 : 52,254 = 52,254 : x
2. Step 2: Convert to fraction form
   37,500/52,254 = 52,254/x
3. Step 3: Cross multiply
   37,500x = 52,254 × 52,254
4. Step 4: Simplify right side
   37,500x = 2,730,480,516
5. Step 5: Solve for x
   x = 2,730,480,516/37,500
6. Step 6: Final answer
   x = 72,812.81