Finding the Third Proportional to 17,878.31 and 38,566.88

Step by Step Solution

1. Step 1: Write the proportion equation
   17,878.31 : 38,566.88 = 38,566.88 : x
2. Step 2: Convert to fraction form
   17,878.31/38,566.88 = 38,566.88/x
3. Step 3: Cross multiply
   17,878.31x = 38,566.88 × 38,566.88
4. Step 4: Simplify right side
   17,878.31x = 1,487,403,847.27
5. Step 5: Solve for x
   x = 1,487,403,847.27/17,878.31
6. Step 6: Final answer
   x = 83,195.99