Finding the Third Proportional to 37,140 and 57,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,140 : 57,532.50 = 57,532.50 : x
2. Step 2: Convert to fraction form
   37,140/57,532.50 = 57,532.50/x
3. Step 3: Cross multiply
   37,140x = 57,532.50 × 57,532.50
4. Step 4: Simplify right side
   37,140x = 3,309,988,556.25
5. Step 5: Solve for x
   x = 3,309,988,556.25/37,140
6. Step 6: Final answer
   x = 89,121.93