Finding the Third Proportional to 17,538.50 and 27,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.50 : 27,259.50 = 27,259.50 : x
2. Step 2: Convert to fraction form
   17,538.50/27,259.50 = 27,259.50/x
3. Step 3: Cross multiply
   17,538.50x = 27,259.50 × 27,259.50
4. Step 4: Simplify right side
   17,538.50x = 743,080,340.25
5. Step 5: Solve for x
   x = 743,080,340.25/17,538.50
6. Step 6: Final answer
   x = 42,368.52