Finding the Third Proportional to 32,638.50 and 49,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,638.50 : 49,639.50 = 49,639.50 : x
2. Step 2: Convert to fraction form
   32,638.50/49,639.50 = 49,639.50/x
3. Step 3: Cross multiply
   32,638.50x = 49,639.50 × 49,639.50
4. Step 4: Simplify right side
   32,638.50x = 2,464,079,960.25
5. Step 5: Solve for x
   x = 2,464,079,960.25/32,638.50
6. Step 6: Final answer
   x = 75,496.12