Finding the Third Proportional to 17,747 and 27,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,747 : 27,475.50 = 27,475.50 : x
2. Step 2: Convert to fraction form
   17,747/27,475.50 = 27,475.50/x
3. Step 3: Cross multiply
   17,747x = 27,475.50 × 27,475.50
4. Step 4: Simplify right side
   17,747x = 754,903,100.25
5. Step 5: Solve for x
   x = 754,903,100.25/17,747
6. Step 6: Final answer
   x = 42,536.94