Finding the Third Proportional to 20,107 and 42,466

Step by Step Solution

1. Step 1: Write the proportion equation
   20,107 : 42,466 = 42,466 : x
2. Step 2: Convert to fraction form
   20,107/42,466 = 42,466/x
3. Step 3: Cross multiply
   20,107x = 42,466 × 42,466
4. Step 4: Simplify right side
   20,107x = 1,803,361,156
5. Step 5: Solve for x
   x = 1,803,361,156/20,107
6. Step 6: Final answer
   x = 89,688.23