Finding the Third Proportional to 8,510 and 18,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,510 : 18,386.50 = 18,386.50 : x
2. Step 2: Convert to fraction form
   8,510/18,386.50 = 18,386.50/x
3. Step 3: Cross multiply
   8,510x = 18,386.50 × 18,386.50
4. Step 4: Simplify right side
   8,510x = 338,063,382.25
5. Step 5: Solve for x
   x = 338,063,382.25/8,510
6. Step 6: Final answer
   x = 39,725.43