Finding the Third Proportional to 22,034 and 35,470

Step by Step Solution

1. Step 1: Write the proportion equation
   22,034 : 35,470 = 35,470 : x
2. Step 2: Convert to fraction form
   22,034/35,470 = 35,470/x
3. Step 3: Cross multiply
   22,034x = 35,470 × 35,470
4. Step 4: Simplify right side
   22,034x = 1,258,120,900
5. Step 5: Solve for x
   x = 1,258,120,900/22,034
6. Step 6: Final answer
   x = 57,099.07