Finding the Third Proportional to 42,028 and 89,672

Step by Step Solution

1. Step 1: Write the proportion equation
   42,028 : 89,672 = 89,672 : x
2. Step 2: Convert to fraction form
   42,028/89,672 = 89,672/x
3. Step 3: Cross multiply
   42,028x = 89,672 × 89,672
4. Step 4: Simplify right side
   42,028x = 8,041,067,584
5. Step 5: Solve for x
   x = 8,041,067,584/42,028
6. Step 6: Final answer
   x = 191,326.44