Finding the Third Proportional to 17,734.50 and 27,459.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,734.50 : 27,459.75 = 27,459.75 : x
2. Step 2: Convert to fraction form
   17,734.50/27,459.75 = 27,459.75/x
3. Step 3: Cross multiply
   17,734.50x = 27,459.75 × 27,459.75
4. Step 4: Simplify right side
   17,734.50x = 754,037,870.06
5. Step 5: Solve for x
   x = 754,037,870.06/17,734.50
6. Step 6: Final answer
   x = 42,518.14