Finding the Third Proportional to 42,072 and 89,757

Step by Step Solution

1. Step 1: Write the proportion equation
   42,072 : 89,757 = 89,757 : x
2. Step 2: Convert to fraction form
   42,072/89,757 = 89,757/x
3. Step 3: Cross multiply
   42,072x = 89,757 × 89,757
4. Step 4: Simplify right side
   42,072x = 8,056,319,049
5. Step 5: Solve for x
   x = 8,056,319,049/42,072
6. Step 6: Final answer
   x = 191,488.85