Finding the Third Proportional to 31,600 and 73,156

Step by Step Solution

1. Step 1: Write the proportion equation
   31,600 : 73,156 = 73,156 : x
2. Step 2: Convert to fraction form
   31,600/73,156 = 73,156/x
3. Step 3: Cross multiply
   31,600x = 73,156 × 73,156
4. Step 4: Simplify right side
   31,600x = 5,351,800,336
5. Step 5: Solve for x
   x = 5,351,800,336/31,600
6. Step 6: Final answer
   x = 169,360.77