Finding the Third Proportional to 40,340 and 58,019

Step by Step Solution

1. Step 1: Write the proportion equation
   40,340 : 58,019 = 58,019 : x
2. Step 2: Convert to fraction form
   40,340/58,019 = 58,019/x
3. Step 3: Cross multiply
   40,340x = 58,019 × 58,019
4. Step 4: Simplify right side
   40,340x = 3,366,204,361
5. Step 5: Solve for x
   x = 3,366,204,361/40,340
6. Step 6: Final answer
   x = 83,445.82