Finding the Third Proportional to 17,682.75 and 38,644.88

Step by Step Solution

1. Step 1: Write the proportion equation
   17,682.75 : 38,644.88 = 38,644.88 : x
2. Step 2: Convert to fraction form
   17,682.75/38,644.88 = 38,644.88/x
3. Step 3: Cross multiply
   17,682.75x = 38,644.88 × 38,644.88
4. Step 4: Simplify right side
   17,682.75x = 1,493,426,363.77
5. Step 5: Solve for x
   x = 1,493,426,363.77/17,682.75
6. Step 6: Final answer
   x = 84,456.68