Finding the Third Proportional to 71,464 and 105,055

Step by Step Solution

1. Step 1: Write the proportion equation
   71,464 : 105,055 = 105,055 : x
2. Step 2: Convert to fraction form
   71,464/105,055 = 105,055/x
3. Step 3: Cross multiply
   71,464x = 105,055 × 105,055
4. Step 4: Simplify right side
   71,464x = 11,036,553,025
5. Step 5: Solve for x
   x = 11,036,553,025/71,464
6. Step 6: Final answer
   x = 154,435.14