Finding the Third Proportional to 38,311 and 89,026

Step by Step Solution

1. Step 1: Write the proportion equation
   38,311 : 89,026 = 89,026 : x
2. Step 2: Convert to fraction form
   38,311/89,026 = 89,026/x
3. Step 3: Cross multiply
   38,311x = 89,026 × 89,026
4. Step 4: Simplify right side
   38,311x = 7,925,628,676
5. Step 5: Solve for x
   x = 7,925,628,676/38,311
6. Step 6: Final answer
   x = 206,876.06