Finding the Third Proportional to 17,514 and 38,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,514 : 38,434.50 = 38,434.50 : x
2. Step 2: Convert to fraction form
   17,514/38,434.50 = 38,434.50/x
3. Step 3: Cross multiply
   17,514x = 38,434.50 × 38,434.50
4. Step 4: Simplify right side
   17,514x = 1,477,210,790.25
5. Step 5: Solve for x
   x = 1,477,210,790.25/17,514
6. Step 6: Final answer
   x = 84,344.57