Finding the Third Proportional to 10,498.50 and 14,697

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.50 : 14,697 = 14,697 : x
2. Step 2: Convert to fraction form
   10,498.50/14,697 = 14,697/x
3. Step 3: Cross multiply
   10,498.50x = 14,697 × 14,697
4. Step 4: Simplify right side
   10,498.50x = 216,001,809
5. Step 5: Solve for x
   x = 216,001,809/10,498.50
6. Step 6: Final answer
   x = 20,574.54