Finding the Third Proportional to 20,627 and 45,142

Step by Step Solution

1. Step 1: Write the proportion equation
   20,627 : 45,142 = 45,142 : x
2. Step 2: Convert to fraction form
   20,627/45,142 = 45,142/x
3. Step 3: Cross multiply
   20,627x = 45,142 × 45,142
4. Step 4: Simplify right side
   20,627x = 2,037,800,164
5. Step 5: Solve for x
   x = 2,037,800,164/20,627
6. Step 6: Final answer
   x = 98,792.85