Finding the Third Proportional to 17,972 and 27,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,972 : 27,209.50 = 27,209.50 : x
2. Step 2: Convert to fraction form
   17,972/27,209.50 = 27,209.50/x
3. Step 3: Cross multiply
   17,972x = 27,209.50 × 27,209.50
4. Step 4: Simplify right side
   17,972x = 740,356,890.25
5. Step 5: Solve for x
   x = 740,356,890.25/17,972
6. Step 6: Final answer
   x = 41,195.02