Finding the Third Proportional to 22,942 and 35,071

Step by Step Solution

1. Step 1: Write the proportion equation
   22,942 : 35,071 = 35,071 : x
2. Step 2: Convert to fraction form
   22,942/35,071 = 35,071/x
3. Step 3: Cross multiply
   22,942x = 35,071 × 35,071
4. Step 4: Simplify right side
   22,942x = 1,229,975,041
5. Step 5: Solve for x
   x = 1,229,975,041/22,942
6. Step 6: Final answer
   x = 53,612.37