Finding the Third Proportional to 20,478 and 43,142

Step by Step Solution

1. Step 1: Write the proportion equation
   20,478 : 43,142 = 43,142 : x
2. Step 2: Convert to fraction form
   20,478/43,142 = 43,142/x
3. Step 3: Cross multiply
   20,478x = 43,142 × 43,142
4. Step 4: Simplify right side
   20,478x = 1,861,232,164
5. Step 5: Solve for x
   x = 1,861,232,164/20,478
6. Step 6: Final answer
   x = 90,889.35