Finding the Third Proportional to 3,752 and 5,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,752 : 5,457.50 = 5,457.50 : x
2. Step 2: Convert to fraction form
   3,752/5,457.50 = 5,457.50/x
3. Step 3: Cross multiply
   3,752x = 5,457.50 × 5,457.50
4. Step 4: Simplify right side
   3,752x = 29,784,306.25
5. Step 5: Solve for x
   x = 29,784,306.25/3,752
6. Step 6: Final answer
   x = 7,938.25