Finding the Third Proportional to 42,026 and 89,668

Step by Step Solution

1. Step 1: Write the proportion equation
   42,026 : 89,668 = 89,668 : x
2. Step 2: Convert to fraction form
   42,026/89,668 = 89,668/x
3. Step 3: Cross multiply
   42,026x = 89,668 × 89,668
4. Step 4: Simplify right side
   42,026x = 8,040,350,224
5. Step 5: Solve for x
   x = 8,040,350,224/42,026
6. Step 6: Final answer
   x = 191,318.47