Finding the Third Proportional to 14,760 and 21,591

Step by Step Solution

1. Step 1: Write the proportion equation
   14,760 : 21,591 = 21,591 : x
2. Step 2: Convert to fraction form
   14,760/21,591 = 21,591/x
3. Step 3: Cross multiply
   14,760x = 21,591 × 21,591
4. Step 4: Simplify right side
   14,760x = 466,171,281
5. Step 5: Solve for x
   x = 466,171,281/14,760
6. Step 6: Final answer
   x = 31,583.42