Finding the Third Proportional to 38,040 and 83,248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,040 : 83,248.50 = 83,248.50 : x
2. Step 2: Convert to fraction form
   38,040/83,248.50 = 83,248.50/x
3. Step 3: Cross multiply
   38,040x = 83,248.50 × 83,248.50
4. Step 4: Simplify right side
   38,040x = 6,930,312,752.25
5. Step 5: Solve for x
   x = 6,930,312,752.25/38,040
6. Step 6: Final answer
   x = 182,184.88