Finding the Third Proportional to 31,164.75 and 41,765.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164.75 : 41,765.63 = 41,765.63 : x
2. Step 2: Convert to fraction form
   31,164.75/41,765.63 = 41,765.63/x
3. Step 3: Cross multiply
   31,164.75x = 41,765.63 × 41,765.63
4. Step 4: Simplify right side
   31,164.75x = 1,744,367,431.64
5. Step 5: Solve for x
   x = 1,744,367,431.64/31,164.75
6. Step 6: Final answer
   x = 55,972.45