Finding the Third Proportional to 38,439 and 83,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,439 : 83,609.50 = 83,609.50 : x
2. Step 2: Convert to fraction form
   38,439/83,609.50 = 83,609.50/x
3. Step 3: Cross multiply
   38,439x = 83,609.50 × 83,609.50
4. Step 4: Simplify right side
   38,439x = 6,990,548,490.25
5. Step 5: Solve for x
   x = 6,990,548,490.25/38,439
6. Step 6: Final answer
   x = 181,860.83