Finding the Third Proportional to 31,156 and 49,598

Step by Step Solution

1. Step 1: Write the proportion equation
   31,156 : 49,598 = 49,598 : x
2. Step 2: Convert to fraction form
   31,156/49,598 = 49,598/x
3. Step 3: Cross multiply
   31,156x = 49,598 × 49,598
4. Step 4: Simplify right side
   31,156x = 2,459,961,604
5. Step 5: Solve for x
   x = 2,459,961,604/31,156
6. Step 6: Final answer
   x = 78,956.27