Finding the Third Proportional to 17,613 and 38,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,613 : 38,506.50 = 38,506.50 : x
2. Step 2: Convert to fraction form
   17,613/38,506.50 = 38,506.50/x
3. Step 3: Cross multiply
   17,613x = 38,506.50 × 38,506.50
4. Step 4: Simplify right side
   17,613x = 1,482,750,542.25
5. Step 5: Solve for x
   x = 1,482,750,542.25/17,613
6. Step 6: Final answer
   x = 84,185.01