Finding the Third Proportional to 15,478 and 31,774

Step by Step Solution

1. Step 1: Write the proportion equation
   15,478 : 31,774 = 31,774 : x
2. Step 2: Convert to fraction form
   15,478/31,774 = 31,774/x
3. Step 3: Cross multiply
   15,478x = 31,774 × 31,774
4. Step 4: Simplify right side
   15,478x = 1,009,587,076
5. Step 5: Solve for x
   x = 1,009,587,076/15,478
6. Step 6: Final answer
   x = 65,227.23