Finding the Third Proportional to 30,742.50 and 41,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,742.50 : 41,725.50 = 41,725.50 : x
2. Step 2: Convert to fraction form
   30,742.50/41,725.50 = 41,725.50/x
3. Step 3: Cross multiply
   30,742.50x = 41,725.50 × 41,725.50
4. Step 4: Simplify right side
   30,742.50x = 1,741,017,350.25
5. Step 5: Solve for x
   x = 1,741,017,350.25/30,742.50
6. Step 6: Final answer
   x = 56,632.26