Finding the Third Proportional to 17,704 and 25,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,704 : 25,825.50 = 25,825.50 : x
2. Step 2: Convert to fraction form
   17,704/25,825.50 = 25,825.50/x
3. Step 3: Cross multiply
   17,704x = 25,825.50 × 25,825.50
4. Step 4: Simplify right side
   17,704x = 666,956,450.25
5. Step 5: Solve for x
   x = 666,956,450.25/17,704
6. Step 6: Final answer
   x = 37,672.64