Finding the Third Proportional to 31,748 and 34,628

Step by Step Solution

1. Step 1: Write the proportion equation
   31,748 : 34,628 = 34,628 : x
2. Step 2: Convert to fraction form
   31,748/34,628 = 34,628/x
3. Step 3: Cross multiply
   31,748x = 34,628 × 34,628
4. Step 4: Simplify right side
   31,748x = 1,199,098,384
5. Step 5: Solve for x
   x = 1,199,098,384/31,748
6. Step 6: Final answer
   x = 37,769.26