Finding the Third Proportional to 38,439.75 and 83,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,439.75 : 83,611.50 = 83,611.50 : x
2. Step 2: Convert to fraction form
   38,439.75/83,611.50 = 83,611.50/x
3. Step 3: Cross multiply
   38,439.75x = 83,611.50 × 83,611.50
4. Step 4: Simplify right side
   38,439.75x = 6,990,882,932.25
5. Step 5: Solve for x
   x = 6,990,882,932.25/38,439.75
6. Step 6: Final answer
   x = 181,865.98