Finding the Third Proportional to 38,974.50 and 83,279.81

Step by Step Solution

1. Step 1: Write the proportion equation
   38,974.50 : 83,279.81 = 83,279.81 : x
2. Step 2: Convert to fraction form
   38,974.50/83,279.81 = 83,279.81/x
3. Step 3: Cross multiply
   38,974.50x = 83,279.81 × 83,279.81
4. Step 4: Simplify right side
   38,974.50x = 6,935,527,170.04
5. Step 5: Solve for x
   x = 6,935,527,170.04/38,974.50
6. Step 6: Final answer
   x = 177,950.38