Finding the Third Proportional to 17,878.50 and 38,700

Step by Step Solution

1. Step 1: Write the proportion equation
   17,878.50 : 38,700 = 38,700 : x
2. Step 2: Convert to fraction form
   17,878.50/38,700 = 38,700/x
3. Step 3: Cross multiply
   17,878.50x = 38,700 × 38,700
4. Step 4: Simplify right side
   17,878.50x = 1,497,690,000
5. Step 5: Solve for x
   x = 1,497,690,000/17,878.50
6. Step 6: Final answer
   x = 83,770.45