Finding the Third Proportional to 40,142 and 58,143

Step by Step Solution

1. Step 1: Write the proportion equation
   40,142 : 58,143 = 58,143 : x
2. Step 2: Convert to fraction form
   40,142/58,143 = 58,143/x
3. Step 3: Cross multiply
   40,142x = 58,143 × 58,143
4. Step 4: Simplify right side
   40,142x = 3,380,608,449
5. Step 5: Solve for x
   x = 3,380,608,449/40,142
6. Step 6: Final answer
   x = 84,216.24