Finding the Third Proportional to 9,900 and 13,154

Step by Step Solution

1. Step 1: Write the proportion equation
   9,900 : 13,154 = 13,154 : x
2. Step 2: Convert to fraction form
   9,900/13,154 = 13,154/x
3. Step 3: Cross multiply
   9,900x = 13,154 × 13,154
4. Step 4: Simplify right side
   9,900x = 173,027,716
5. Step 5: Solve for x
   x = 173,027,716/9,900
6. Step 6: Final answer
   x = 17,477.55