Finding the Third Proportional to 11,562 and 23,672

Step by Step Solution

1. Step 1: Write the proportion equation
   11,562 : 23,672 = 23,672 : x
2. Step 2: Convert to fraction form
   11,562/23,672 = 23,672/x
3. Step 3: Cross multiply
   11,562x = 23,672 × 23,672
4. Step 4: Simplify right side
   11,562x = 560,363,584
5. Step 5: Solve for x
   x = 560,363,584/11,562
6. Step 6: Final answer
   x = 48,465.97