Finding the Third Proportional to 14,611 and 31,774

Step by Step Solution

1. Step 1: Write the proportion equation
   14,611 : 31,774 = 31,774 : x
2. Step 2: Convert to fraction form
   14,611/31,774 = 31,774/x
3. Step 3: Cross multiply
   14,611x = 31,774 × 31,774
4. Step 4: Simplify right side
   14,611x = 1,009,587,076
5. Step 5: Solve for x
   x = 1,009,587,076/14,611
6. Step 6: Final answer
   x = 69,097.74