Finding the Third Proportional to 38,435 and 89,774

Step by Step Solution

1. Step 1: Write the proportion equation
   38,435 : 89,774 = 89,774 : x
2. Step 2: Convert to fraction form
   38,435/89,774 = 89,774/x
3. Step 3: Cross multiply
   38,435x = 89,774 × 89,774
4. Step 4: Simplify right side
   38,435x = 8,059,371,076
5. Step 5: Solve for x
   x = 8,059,371,076/38,435
6. Step 6: Final answer
   x = 209,688.33