Finding the Third Proportional to 40,972 and 58,026

Step by Step Solution

1. Step 1: Write the proportion equation
   40,972 : 58,026 = 58,026 : x
2. Step 2: Convert to fraction form
   40,972/58,026 = 58,026/x
3. Step 3: Cross multiply
   40,972x = 58,026 × 58,026
4. Step 4: Simplify right side
   40,972x = 3,367,016,676
5. Step 5: Solve for x
   x = 3,367,016,676/40,972
6. Step 6: Final answer
   x = 82,178.48