Finding the Third Proportional to 38,262 and 56,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,262 : 56,176.50 = 56,176.50 : x
2. Step 2: Convert to fraction form
   38,262/56,176.50 = 56,176.50/x
3. Step 3: Cross multiply
   38,262x = 56,176.50 × 56,176.50
4. Step 4: Simplify right side
   38,262x = 3,155,799,152.25
5. Step 5: Solve for x
   x = 3,155,799,152.25/38,262
6. Step 6: Final answer
   x = 82,478.68