Finding the Third Proportional to 17,739 and 38,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,739 : 38,389.50 = 38,389.50 : x
2. Step 2: Convert to fraction form
   17,739/38,389.50 = 38,389.50/x
3. Step 3: Cross multiply
   17,739x = 38,389.50 × 38,389.50
4. Step 4: Simplify right side
   17,739x = 1,473,753,710.25
5. Step 5: Solve for x
   x = 1,473,753,710.25/17,739
6. Step 6: Final answer
   x = 83,079.86