Finding the Third Proportional to 34,648 and 37,528

Step by Step Solution

1. Step 1: Write the proportion equation
   34,648 : 37,528 = 37,528 : x
2. Step 2: Convert to fraction form
   34,648/37,528 = 37,528/x
3. Step 3: Cross multiply
   34,648x = 37,528 × 37,528
4. Step 4: Simplify right side
   34,648x = 1,408,350,784
5. Step 5: Solve for x
   x = 1,408,350,784/34,648
6. Step 6: Final answer
   x = 40,647.39