Finding the Third Proportional to 68,038 and 105,606

Step by Step Solution

1. Step 1: Write the proportion equation
   68,038 : 105,606 = 105,606 : x
2. Step 2: Convert to fraction form
   68,038/105,606 = 105,606/x
3. Step 3: Cross multiply
   68,038x = 105,606 × 105,606
4. Step 4: Simplify right side
   68,038x = 11,152,627,236
5. Step 5: Solve for x
   x = 11,152,627,236/68,038
6. Step 6: Final answer
   x = 163,917.62