Finding the Third Proportional to 31,521 and 48,805

Step by Step Solution

1. Step 1: Write the proportion equation
   31,521 : 48,805 = 48,805 : x
2. Step 2: Convert to fraction form
   31,521/48,805 = 48,805/x
3. Step 3: Cross multiply
   31,521x = 48,805 × 48,805
4. Step 4: Simplify right side
   31,521x = 2,381,928,025
5. Step 5: Solve for x
   x = 2,381,928,025/31,521
6. Step 6: Final answer
   x = 75,566.39