Finding the Third Proportional to 20,738 and 31,076

Step by Step Solution

1. Step 1: Write the proportion equation
   20,738 : 31,076 = 31,076 : x
2. Step 2: Convert to fraction form
   20,738/31,076 = 31,076/x
3. Step 3: Cross multiply
   20,738x = 31,076 × 31,076
4. Step 4: Simplify right side
   20,738x = 965,717,776
5. Step 5: Solve for x
   x = 965,717,776/20,738
6. Step 6: Final answer
   x = 46,567.55