Finding the Third Proportional to 31,357.50 and 67,827

Step by Step Solution

1. Step 1: Write the proportion equation
   31,357.50 : 67,827 = 67,827 : x
2. Step 2: Convert to fraction form
   31,357.50/67,827 = 67,827/x
3. Step 3: Cross multiply
   31,357.50x = 67,827 × 67,827
4. Step 4: Simplify right side
   31,357.50x = 4,600,501,929
5. Step 5: Solve for x
   x = 4,600,501,929/31,357.50
6. Step 6: Final answer
   x = 146,711.37