Finding the Third Proportional to 8,665.59 and 17,742.09

Step by Step Solution

1. Step 1: Write the proportion equation
   8,665.59 : 17,742.09 = 17,742.09 : x
2. Step 2: Convert to fraction form
   8,665.59/17,742.09 = 17,742.09/x
3. Step 3: Cross multiply
   8,665.59x = 17,742.09 × 17,742.09
4. Step 4: Simplify right side
   8,665.59x = 314,781,890.63
5. Step 5: Solve for x
   x = 314,781,890.63/8,665.59
6. Step 6: Final answer
   x = 36,325.48