Finding the Third Proportional to 6,894 and 10,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,894 : 10,921.50 = 10,921.50 : x
2. Step 2: Convert to fraction form
   6,894/10,921.50 = 10,921.50/x
3. Step 3: Cross multiply
   6,894x = 10,921.50 × 10,921.50
4. Step 4: Simplify right side
   6,894x = 119,279,162.25
5. Step 5: Solve for x
   x = 119,279,162.25/6,894
6. Step 6: Final answer
   x = 17,301.88