Finding the Third Proportional to 17,655 and 41,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,655 : 41,683.50 = 41,683.50 : x
2. Step 2: Convert to fraction form
   17,655/41,683.50 = 41,683.50/x
3. Step 3: Cross multiply
   17,655x = 41,683.50 × 41,683.50
4. Step 4: Simplify right side
   17,655x = 1,737,514,172.25
5. Step 5: Solve for x
   x = 1,737,514,172.25/17,655
6. Step 6: Final answer
   x = 98,414.85