Finding the Third Proportional to 17,856 and 26,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 26,419.50 = 26,419.50 : x
2. Step 2: Convert to fraction form
   17,856/26,419.50 = 26,419.50/x
3. Step 3: Cross multiply
   17,856x = 26,419.50 × 26,419.50
4. Step 4: Simplify right side
   17,856x = 697,989,980.25
5. Step 5: Solve for x
   x = 697,989,980.25/17,856
6. Step 6: Final answer
   x = 39,089.94