Finding the Third Proportional to 67,406 and 105,730

Step by Step Solution

1. Step 1: Write the proportion equation
   67,406 : 105,730 = 105,730 : x
2. Step 2: Convert to fraction form
   67,406/105,730 = 105,730/x
3. Step 3: Cross multiply
   67,406x = 105,730 × 105,730
4. Step 4: Simplify right side
   67,406x = 11,178,832,900
5. Step 5: Solve for x
   x = 11,178,832,900/67,406
6. Step 6: Final answer
   x = 165,843.29