Finding the Third Proportional to 31,424 and 37,888

Step by Step Solution

1. Step 1: Write the proportion equation
   31,424 : 37,888 = 37,888 : x
2. Step 2: Convert to fraction form
   31,424/37,888 = 37,888/x
3. Step 3: Cross multiply
   31,424x = 37,888 × 37,888
4. Step 4: Simplify right side
   31,424x = 1,435,500,544
5. Step 5: Solve for x
   x = 1,435,500,544/31,424
6. Step 6: Final answer
   x = 45,681.66