Finding the Third Proportional to 31,984 and 37,600

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984 : 37,600 = 37,600 : x
2. Step 2: Convert to fraction form
   31,984/37,600 = 37,600/x
3. Step 3: Cross multiply
   31,984x = 37,600 × 37,600
4. Step 4: Simplify right side
   31,984x = 1,413,760,000
5. Step 5: Solve for x
   x = 1,413,760,000/31,984
6. Step 6: Final answer
   x = 44,202.10