Finding the Third Proportional to 8,643 and 17,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,643 : 17,830.50 = 17,830.50 : x
2. Step 2: Convert to fraction form
   8,643/17,830.50 = 17,830.50/x
3. Step 3: Cross multiply
   8,643x = 17,830.50 × 17,830.50
4. Step 4: Simplify right side
   8,643x = 317,926,730.25
5. Step 5: Solve for x
   x = 317,926,730.25/8,643
6. Step 6: Final answer
   x = 36,784.30