Finding the Third Proportional to 5,627 and 12,332

Step by Step Solution

1. Step 1: Write the proportion equation
   5,627 : 12,332 = 12,332 : x
2. Step 2: Convert to fraction form
   5,627/12,332 = 12,332/x
3. Step 3: Cross multiply
   5,627x = 12,332 × 12,332
4. Step 4: Simplify right side
   5,627x = 152,078,224
5. Step 5: Solve for x
   x = 152,078,224/5,627
6. Step 6: Final answer
   x = 27,026.52