Finding the Third Proportional to 31,796 and 37,652

Step by Step Solution

1. Step 1: Write the proportion equation
   31,796 : 37,652 = 37,652 : x
2. Step 2: Convert to fraction form
   31,796/37,652 = 37,652/x
3. Step 3: Cross multiply
   31,796x = 37,652 × 37,652
4. Step 4: Simplify right side
   31,796x = 1,417,673,104
5. Step 5: Solve for x
   x = 1,417,673,104/31,796
6. Step 6: Final answer
   x = 44,586.52