Finding the Third Proportional to 16,746 and 26,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,746 : 26,656.50 = 26,656.50 : x
2. Step 2: Convert to fraction form
   16,746/26,656.50 = 26,656.50/x
3. Step 3: Cross multiply
   16,746x = 26,656.50 × 26,656.50
4. Step 4: Simplify right side
   16,746x = 710,568,992.25
5. Step 5: Solve for x
   x = 710,568,992.25/16,746
6. Step 6: Final answer
   x = 42,432.16