Finding the Third Proportional to 20,114 and 31,321

Step by Step Solution

1. Step 1: Write the proportion equation
   20,114 : 31,321 = 31,321 : x
2. Step 2: Convert to fraction form
   20,114/31,321 = 31,321/x
3. Step 3: Cross multiply
   20,114x = 31,321 × 31,321
4. Step 4: Simplify right side
   20,114x = 981,005,041
5. Step 5: Solve for x
   x = 981,005,041/20,114
6. Step 6: Final answer
   x = 48,772.25