Finding the Third Proportional to 10,494 and 14,690.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 14,690.25 = 14,690.25 : x
2. Step 2: Convert to fraction form
   10,494/14,690.25 = 14,690.25/x
3. Step 3: Cross multiply
   10,494x = 14,690.25 × 14,690.25
4. Step 4: Simplify right side
   10,494x = 215,803,445.06
5. Step 5: Solve for x
   x = 215,803,445.06/10,494
6. Step 6: Final answer
   x = 20,564.46