Finding the Third Proportional to 35,226 and 71,892

Step by Step Solution

1. Step 1: Write the proportion equation
   35,226 : 71,892 = 71,892 : x
2. Step 2: Convert to fraction form
   35,226/71,892 = 71,892/x
3. Step 3: Cross multiply
   35,226x = 71,892 × 71,892
4. Step 4: Simplify right side
   35,226x = 5,168,459,664
5. Step 5: Solve for x
   x = 5,168,459,664/35,226
6. Step 6: Final answer
   x = 146,722.87