Finding the Third Proportional to 14,969 and 31,171

Step by Step Solution

1. Step 1: Write the proportion equation
   14,969 : 31,171 = 31,171 : x
2. Step 2: Convert to fraction form
   14,969/31,171 = 31,171/x
3. Step 3: Cross multiply
   14,969x = 31,171 × 31,171
4. Step 4: Simplify right side
   14,969x = 971,631,241
5. Step 5: Solve for x
   x = 971,631,241/14,969
6. Step 6: Final answer
   x = 64,909.56