Finding the Third Proportional to 17,871 and 38,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,871 : 38,116.50 = 38,116.50 : x
2. Step 2: Convert to fraction form
   17,871/38,116.50 = 38,116.50/x
3. Step 3: Cross multiply
   17,871x = 38,116.50 × 38,116.50
4. Step 4: Simplify right side
   17,871x = 1,452,867,572.25
5. Step 5: Solve for x
   x = 1,452,867,572.25/17,871
6. Step 6: Final answer
   x = 81,297.50