Finding the Third Proportional to 14,502 and 31,767

Step by Step Solution

1. Step 1: Write the proportion equation
   14,502 : 31,767 = 31,767 : x
2. Step 2: Convert to fraction form
   14,502/31,767 = 31,767/x
3. Step 3: Cross multiply
   14,502x = 31,767 × 31,767
4. Step 4: Simplify right side
   14,502x = 1,009,142,289
5. Step 5: Solve for x
   x = 1,009,142,289/14,502
6. Step 6: Final answer
   x = 69,586.42