Finding the Third Proportional to 34,146 and 50,724

Step by Step Solution

1. Step 1: Write the proportion equation
   34,146 : 50,724 = 50,724 : x
2. Step 2: Convert to fraction form
   34,146/50,724 = 50,724/x
3. Step 3: Cross multiply
   34,146x = 50,724 × 50,724
4. Step 4: Simplify right side
   34,146x = 2,572,924,176
5. Step 5: Solve for x
   x = 2,572,924,176/34,146
6. Step 6: Final answer
   x = 75,350.68