Finding the Third Proportional to 17,496 and 27,702

Step by Step Solution

1. Step 1: Write the proportion equation
   17,496 : 27,702 = 27,702 : x
2. Step 2: Convert to fraction form
   17,496/27,702 = 27,702/x
3. Step 3: Cross multiply
   17,496x = 27,702 × 27,702
4. Step 4: Simplify right side
   17,496x = 767,400,804
5. Step 5: Solve for x
   x = 767,400,804/17,496
6. Step 6: Final answer
   x = 43,861.50