Finding the Third Proportional to 17,682.75 and 38,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,682.75 : 38,524.50 = 38,524.50 : x
2. Step 2: Convert to fraction form
   17,682.75/38,524.50 = 38,524.50/x
3. Step 3: Cross multiply
   17,682.75x = 38,524.50 × 38,524.50
4. Step 4: Simplify right side
   17,682.75x = 1,484,137,100.25
5. Step 5: Solve for x
   x = 1,484,137,100.25/17,682.75
6. Step 6: Final answer
   x = 83,931.35