Finding the Third Proportional to 14,564 and 31,760

Step by Step Solution

1. Step 1: Write the proportion equation
   14,564 : 31,760 = 31,760 : x
2. Step 2: Convert to fraction form
   14,564/31,760 = 31,760/x
3. Step 3: Cross multiply
   14,564x = 31,760 × 31,760
4. Step 4: Simplify right side
   14,564x = 1,008,697,600
5. Step 5: Solve for x
   x = 1,008,697,600/14,564
6. Step 6: Final answer
   x = 69,259.65