Finding the Third Proportional to 37,397 and 57,500

Step by Step Solution

1. Step 1: Write the proportion equation
   37,397 : 57,500 = 57,500 : x
2. Step 2: Convert to fraction form
   37,397/57,500 = 57,500/x
3. Step 3: Cross multiply
   37,397x = 57,500 × 57,500
4. Step 4: Simplify right side
   37,397x = 3,306,250,000
5. Step 5: Solve for x
   x = 3,306,250,000/37,397
6. Step 6: Final answer
   x = 88,409.50