Finding the Third Proportional to 17,538.50 and 26,327.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.50 : 26,327.75 = 26,327.75 : x
2. Step 2: Convert to fraction form
   17,538.50/26,327.75 = 26,327.75/x
3. Step 3: Cross multiply
   17,538.50x = 26,327.75 × 26,327.75
4. Step 4: Simplify right side
   17,538.50x = 693,150,420.06
5. Step 5: Solve for x
   x = 693,150,420.06/17,538.50
6. Step 6: Final answer
   x = 39,521.65