Finding the Third Proportional to 31,882 and 46,799

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882 : 46,799 = 46,799 : x
2. Step 2: Convert to fraction form
   31,882/46,799 = 46,799/x
3. Step 3: Cross multiply
   31,882x = 46,799 × 46,799
4. Step 4: Simplify right side
   31,882x = 2,190,146,401
5. Step 5: Solve for x
   x = 2,190,146,401/31,882
6. Step 6: Final answer
   x = 68,695.39