Finding the Third Proportional to 17,742.75 and 27,468.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742.75 : 27,468.75 = 27,468.75 : x
2. Step 2: Convert to fraction form
   17,742.75/27,468.75 = 27,468.75/x
3. Step 3: Cross multiply
   17,742.75x = 27,468.75 × 27,468.75
4. Step 4: Simplify right side
   17,742.75x = 754,532,226.56
5. Step 5: Solve for x
   x = 754,532,226.56/17,742.75
6. Step 6: Final answer
   x = 42,526.23