Finding the Third Proportional to 3,762.38 and 8,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.38 : 8,152.50 = 8,152.50 : x
2. Step 2: Convert to fraction form
   3,762.38/8,152.50 = 8,152.50/x
3. Step 3: Cross multiply
   3,762.38x = 8,152.50 × 8,152.50
4. Step 4: Simplify right side
   3,762.38x = 66,463,256.25
5. Step 5: Solve for x
   x = 66,463,256.25/3,762.38
6. Step 6: Final answer
   x = 17,665.24