Finding the Third Proportional to 17,419.50 and 26,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,419.50 : 26,538.75 = 26,538.75 : x
2. Step 2: Convert to fraction form
   17,419.50/26,538.75 = 26,538.75/x
3. Step 3: Cross multiply
   17,419.50x = 26,538.75 × 26,538.75
4. Step 4: Simplify right side
   17,419.50x = 704,305,251.56
5. Step 5: Solve for x
   x = 704,305,251.56/17,419.50
6. Step 6: Final answer
   x = 40,432.00