Finding the Third Proportional to 17,746.50 and 27,474

Step by Step Solution

1. Step 1: Write the proportion equation
   17,746.50 : 27,474 = 27,474 : x
2. Step 2: Convert to fraction form
   17,746.50/27,474 = 27,474/x
3. Step 3: Cross multiply
   17,746.50x = 27,474 × 27,474
4. Step 4: Simplify right side
   17,746.50x = 754,820,676
5. Step 5: Solve for x
   x = 754,820,676/17,746.50
6. Step 6: Final answer
   x = 42,533.50