Finding the Third Proportional to 38,438.25 and 83,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,438.25 : 83,608.50 = 83,608.50 : x
2. Step 2: Convert to fraction form
   38,438.25/83,608.50 = 83,608.50/x
3. Step 3: Cross multiply
   38,438.25x = 83,608.50 × 83,608.50
4. Step 4: Simplify right side
   38,438.25x = 6,990,381,272.25
5. Step 5: Solve for x
   x = 6,990,381,272.25/38,438.25
6. Step 6: Final answer
   x = 181,860.03