Finding the Third Proportional to 17,888 and 38,500

Step by Step Solution

1. Step 1: Write the proportion equation
   17,888 : 38,500 = 38,500 : x
2. Step 2: Convert to fraction form
   17,888/38,500 = 38,500/x
3. Step 3: Cross multiply
   17,888x = 38,500 × 38,500
4. Step 4: Simplify right side
   17,888x = 1,482,250,000
5. Step 5: Solve for x
   x = 1,482,250,000/17,888
6. Step 6: Final answer
   x = 82,862.81