Finding the Third Proportional to 31,684.50 and 42,400.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684.50 : 42,400.13 = 42,400.13 : x
2. Step 2: Convert to fraction form
   31,684.50/42,400.13 = 42,400.13/x
3. Step 3: Cross multiply
   31,684.50x = 42,400.13 × 42,400.13
4. Step 4: Simplify right side
   31,684.50x = 1,797,770,600.02
5. Step 5: Solve for x
   x = 1,797,770,600.02/31,684.50
6. Step 6: Final answer
   x = 56,739.75