Finding the Third Proportional to 38,434 and 89,771

Step by Step Solution

1. Step 1: Write the proportion equation
   38,434 : 89,771 = 89,771 : x
2. Step 2: Convert to fraction form
   38,434/89,771 = 89,771/x
3. Step 3: Cross multiply
   38,434x = 89,771 × 89,771
4. Step 4: Simplify right side
   38,434x = 8,058,832,441
5. Step 5: Solve for x
   x = 8,058,832,441/38,434
6. Step 6: Final answer
   x = 209,679.77