Finding the Third Proportional to 10,921.50 and 16,364.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,921.50 : 16,364.25 = 16,364.25 : x
2. Step 2: Convert to fraction form
   10,921.50/16,364.25 = 16,364.25/x
3. Step 3: Cross multiply
   10,921.50x = 16,364.25 × 16,364.25
4. Step 4: Simplify right side
   10,921.50x = 267,788,678.06
5. Step 5: Solve for x
   x = 267,788,678.06/10,921.50
6. Step 6: Final answer
   x = 24,519.40