Finding the Third Proportional to 38,340 and 89,622

Step by Step Solution

1. Step 1: Write the proportion equation
   38,340 : 89,622 = 89,622 : x
2. Step 2: Convert to fraction form
   38,340/89,622 = 89,622/x
3. Step 3: Cross multiply
   38,340x = 89,622 × 89,622
4. Step 4: Simplify right side
   38,340x = 8,032,102,884
5. Step 5: Solve for x
   x = 8,032,102,884/38,340
6. Step 6: Final answer
   x = 209,496.68