Finding the Third Proportional to 17,676 and 38,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 38,476.50 = 38,476.50 : x
2. Step 2: Convert to fraction form
   17,676/38,476.50 = 38,476.50/x
3. Step 3: Cross multiply
   17,676x = 38,476.50 × 38,476.50
4. Step 4: Simplify right side
   17,676x = 1,480,441,052.25
5. Step 5: Solve for x
   x = 1,480,441,052.25/17,676
6. Step 6: Final answer
   x = 83,754.30