Finding the Third Proportional to 30,712.50 and 41,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,712.50 : 41,272.50 = 41,272.50 : x
2. Step 2: Convert to fraction form
   30,712.50/41,272.50 = 41,272.50/x
3. Step 3: Cross multiply
   30,712.50x = 41,272.50 × 41,272.50
4. Step 4: Simplify right side
   30,712.50x = 1,703,419,256.25
5. Step 5: Solve for x
   x = 1,703,419,256.25/30,712.50
6. Step 6: Final answer
   x = 55,463.39