Finding the Third Proportional to 20,300 and 41,158

Step by Step Solution

1. Step 1: Write the proportion equation
   20,300 : 41,158 = 41,158 : x
2. Step 2: Convert to fraction form
   20,300/41,158 = 41,158/x
3. Step 3: Cross multiply
   20,300x = 41,158 × 41,158
4. Step 4: Simplify right side
   20,300x = 1,693,980,964
5. Step 5: Solve for x
   x = 1,693,980,964/20,300
6. Step 6: Final answer
   x = 83,447.34