Finding the Third Proportional to 8,653.50 and 18,338.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,653.50 : 18,338.06 = 18,338.06 : x
2. Step 2: Convert to fraction form
   8,653.50/18,338.06 = 18,338.06/x
3. Step 3: Cross multiply
   8,653.50x = 18,338.06 × 18,338.06
4. Step 4: Simplify right side
   8,653.50x = 336,284,536.25
5. Step 5: Solve for x
   x = 336,284,536.25/8,653.50
6. Step 6: Final answer
   x = 38,861.10