Finding the Third Proportional to 42,038 and 89,692

Step by Step Solution

1. Step 1: Write the proportion equation
   42,038 : 89,692 = 89,692 : x
2. Step 2: Convert to fraction form
   42,038/89,692 = 89,692/x
3. Step 3: Cross multiply
   42,038x = 89,692 × 89,692
4. Step 4: Simplify right side
   42,038x = 8,044,654,864
5. Step 5: Solve for x
   x = 8,044,654,864/42,038
6. Step 6: Final answer
   x = 191,366.26