Finding the Third Proportional to 40,652 and 58,020

Step by Step Solution

1. Step 1: Write the proportion equation
   40,652 : 58,020 = 58,020 : x
2. Step 2: Convert to fraction form
   40,652/58,020 = 58,020/x
3. Step 3: Cross multiply
   40,652x = 58,020 × 58,020
4. Step 4: Simplify right side
   40,652x = 3,366,320,400
5. Step 5: Solve for x
   x = 3,366,320,400/40,652
6. Step 6: Final answer
   x = 82,808.24