Finding the Third Proportional to 38,155.50 and 83,540.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,155.50 : 83,540.25 = 83,540.25 : x
2. Step 2: Convert to fraction form
   38,155.50/83,540.25 = 83,540.25/x
3. Step 3: Cross multiply
   38,155.50x = 83,540.25 × 83,540.25
4. Step 4: Simplify right side
   38,155.50x = 6,978,973,370.06
5. Step 5: Solve for x
   x = 6,978,973,370.06/38,155.50
6. Step 6: Final answer
   x = 182,908.71