Finding the Third Proportional to 17,878.50 and 38,869.88

Step by Step Solution

1. Step 1: Write the proportion equation
   17,878.50 : 38,869.88 = 38,869.88 : x
2. Step 2: Convert to fraction form
   17,878.50/38,869.88 = 38,869.88/x
3. Step 3: Cross multiply
   17,878.50x = 38,869.88 × 38,869.88
4. Step 4: Simplify right side
   17,878.50x = 1,510,867,182.52
5. Step 5: Solve for x
   x = 1,510,867,182.52/17,878.50
6. Step 6: Final answer
   x = 84,507.49