Finding the Third Proportional to 11,746 and 17,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,746 : 17,620.50 = 17,620.50 : x
2. Step 2: Convert to fraction form
   11,746/17,620.50 = 17,620.50/x
3. Step 3: Cross multiply
   11,746x = 17,620.50 × 17,620.50
4. Step 4: Simplify right side
   11,746x = 310,482,020.25
5. Step 5: Solve for x
   x = 310,482,020.25/11,746
6. Step 6: Final answer
   x = 26,433.00