Finding the Third Proportional to 27,672 and 42,966

Step by Step Solution

1. Step 1: Write the proportion equation
   27,672 : 42,966 = 42,966 : x
2. Step 2: Convert to fraction form
   27,672/42,966 = 42,966/x
3. Step 3: Cross multiply
   27,672x = 42,966 × 42,966
4. Step 4: Simplify right side
   27,672x = 1,846,077,156
5. Step 5: Solve for x
   x = 1,846,077,156/27,672
6. Step 6: Final answer
   x = 66,712.82