Finding the Third Proportional to 67,840 and 105,038

Step by Step Solution

1. Step 1: Write the proportion equation
   67,840 : 105,038 = 105,038 : x
2. Step 2: Convert to fraction form
   67,840/105,038 = 105,038/x
3. Step 3: Cross multiply
   67,840x = 105,038 × 105,038
4. Step 4: Simplify right side
   67,840x = 11,032,981,444
5. Step 5: Solve for x
   x = 11,032,981,444/67,840
6. Step 6: Final answer
   x = 162,632.39