Finding the Third Proportional to 35,648 and 49,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 49,836.50 = 49,836.50 : x
2. Step 2: Convert to fraction form
   35,648/49,836.50 = 49,836.50/x
3. Step 3: Cross multiply
   35,648x = 49,836.50 × 49,836.50
4. Step 4: Simplify right side
   35,648x = 2,483,676,732.25
5. Step 5: Solve for x
   x = 2,483,676,732.25/35,648
6. Step 6: Final answer
   x = 69,672.26