Finding the Third Proportional to 15,338 and 31,321

Step by Step Solution

1. Step 1: Write the proportion equation
   15,338 : 31,321 = 31,321 : x
2. Step 2: Convert to fraction form
   15,338/31,321 = 31,321/x
3. Step 3: Cross multiply
   15,338x = 31,321 × 31,321
4. Step 4: Simplify right side
   15,338x = 981,005,041
5. Step 5: Solve for x
   x = 981,005,041/15,338
6. Step 6: Final answer
   x = 63,959.12