Finding the Third Proportional to 5,140 and 10,472

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140 : 10,472 = 10,472 : x
2. Step 2: Convert to fraction form
   5,140/10,472 = 10,472/x
3. Step 3: Cross multiply
   5,140x = 10,472 × 10,472
4. Step 4: Simplify right side
   5,140x = 109,662,784
5. Step 5: Solve for x
   x = 109,662,784/5,140
6. Step 6: Final answer
   x = 21,335.17