Finding the Third Proportional to 17,738.25 and 27,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738.25 : 27,463.50 = 27,463.50 : x
2. Step 2: Convert to fraction form
   17,738.25/27,463.50 = 27,463.50/x
3. Step 3: Cross multiply
   17,738.25x = 27,463.50 × 27,463.50
4. Step 4: Simplify right side
   17,738.25x = 754,243,832.25
5. Step 5: Solve for x
   x = 754,243,832.25/17,738.25
6. Step 6: Final answer
   x = 42,520.76