Finding the Third Proportional to 11,620 and 17,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,620 : 17,456.50 = 17,456.50 : x
2. Step 2: Convert to fraction form
   11,620/17,456.50 = 17,456.50/x
3. Step 3: Cross multiply
   11,620x = 17,456.50 × 17,456.50
4. Step 4: Simplify right side
   11,620x = 304,729,392.25
5. Step 5: Solve for x
   x = 304,729,392.25/11,620
6. Step 6: Final answer
   x = 26,224.56