Finding the Third Proportional to 31,942.50 and 42,405.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,942.50 : 42,405.75 = 42,405.75 : x
2. Step 2: Convert to fraction form
   31,942.50/42,405.75 = 42,405.75/x
3. Step 3: Cross multiply
   31,942.50x = 42,405.75 × 42,405.75
4. Step 4: Simplify right side
   31,942.50x = 1,798,247,633.06
5. Step 5: Solve for x
   x = 1,798,247,633.06/31,942.50
6. Step 6: Final answer
   x = 56,296.40