Finding the Third Proportional to 42,892 and 64,256

Step by Step Solution

1. Step 1: Write the proportion equation
   42,892 : 64,256 = 64,256 : x
2. Step 2: Convert to fraction form
   42,892/64,256 = 64,256/x
3. Step 3: Cross multiply
   42,892x = 64,256 × 64,256
4. Step 4: Simplify right side
   42,892x = 4,128,833,536
5. Step 5: Solve for x
   x = 4,128,833,536/42,892
6. Step 6: Final answer
   x = 96,261.16