Finding the Third Proportional to 40,876 and 59,724

Step by Step Solution

1. Step 1: Write the proportion equation
   40,876 : 59,724 = 59,724 : x
2. Step 2: Convert to fraction form
   40,876/59,724 = 59,724/x
3. Step 3: Cross multiply
   40,876x = 59,724 × 59,724
4. Step 4: Simplify right side
   40,876x = 3,566,956,176
5. Step 5: Solve for x
   x = 3,566,956,176/40,876
6. Step 6: Final answer
   x = 87,262.85