Finding the Third Proportional to 10,677 and 12,153

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677 : 12,153 = 12,153 : x
2. Step 2: Convert to fraction form
   10,677/12,153 = 12,153/x
3. Step 3: Cross multiply
   10,677x = 12,153 × 12,153
4. Step 4: Simplify right side
   10,677x = 147,695,409
5. Step 5: Solve for x
   x = 147,695,409/10,677
6. Step 6: Final answer
   x = 13,833.04