Finding the Third Proportional to 41,735.25 and 85,429.69

Step by Step Solution

1. Step 1: Write the proportion equation
   41,735.25 : 85,429.69 = 85,429.69 : x
2. Step 2: Convert to fraction form
   41,735.25/85,429.69 = 85,429.69/x
3. Step 3: Cross multiply
   41,735.25x = 85,429.69 × 85,429.69
4. Step 4: Simplify right side
   41,735.25x = 7,298,231,506.35
5. Step 5: Solve for x
   x = 7,298,231,506.35/41,735.25
6. Step 6: Final answer
   x = 174,869.72