Finding the Third Proportional to 31,778 and 46,443

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 46,443 = 46,443 : x
2. Step 2: Convert to fraction form
   31,778/46,443 = 46,443/x
3. Step 3: Cross multiply
   31,778x = 46,443 × 46,443
4. Step 4: Simplify right side
   31,778x = 2,156,952,249
5. Step 5: Solve for x
   x = 2,156,952,249/31,778
6. Step 6: Final answer
   x = 67,875.65