Finding the Third Proportional to 31,941 and 45,738

Step by Step Solution

1. Step 1: Write the proportion equation
   31,941 : 45,738 = 45,738 : x
2. Step 2: Convert to fraction form
   31,941/45,738 = 45,738/x
3. Step 3: Cross multiply
   31,941x = 45,738 × 45,738
4. Step 4: Simplify right side
   31,941x = 2,091,964,644
5. Step 5: Solve for x
   x = 2,091,964,644/31,941
6. Step 6: Final answer
   x = 65,494.65