Finding the Third Proportional to 40,974.19 and 83,451.94

Step by Step Solution

1. Step 1: Write the proportion equation
   40,974.19 : 83,451.94 = 83,451.94 : x
2. Step 2: Convert to fraction form
   40,974.19/83,451.94 = 83,451.94/x
3. Step 3: Cross multiply
   40,974.19x = 83,451.94 × 83,451.94
4. Step 4: Simplify right side
   40,974.19x = 6,964,225,872.50
5. Step 5: Solve for x
   x = 6,964,225,872.50/40,974.19
6. Step 6: Final answer
   x = 169,966.17