Finding the Third Proportional to 31,840 and 49,224

Step by Step Solution

1. Step 1: Write the proportion equation
   31,840 : 49,224 = 49,224 : x
2. Step 2: Convert to fraction form
   31,840/49,224 = 49,224/x
3. Step 3: Cross multiply
   31,840x = 49,224 × 49,224
4. Step 4: Simplify right side
   31,840x = 2,423,002,176
5. Step 5: Solve for x
   x = 2,423,002,176/31,840
6. Step 6: Final answer
   x = 76,099.31