Finding the Third Proportional to 17,686.50 and 38,229

Step by Step Solution

1. Step 1: Write the proportion equation
   17,686.50 : 38,229 = 38,229 : x
2. Step 2: Convert to fraction form
   17,686.50/38,229 = 38,229/x
3. Step 3: Cross multiply
   17,686.50x = 38,229 × 38,229
4. Step 4: Simplify right side
   17,686.50x = 1,461,456,441
5. Step 5: Solve for x
   x = 1,461,456,441/17,686.50
6. Step 6: Final answer
   x = 82,631.18