Finding the Third Proportional to 11,672 and 27,536

Step by Step Solution

1. Step 1: Write the proportion equation
   11,672 : 27,536 = 27,536 : x
2. Step 2: Convert to fraction form
   11,672/27,536 = 27,536/x
3. Step 3: Cross multiply
   11,672x = 27,536 × 27,536
4. Step 4: Simplify right side
   11,672x = 758,231,296
5. Step 5: Solve for x
   x = 758,231,296/11,672
6. Step 6: Final answer
   x = 64,961.56