Finding the Third Proportional to 32,839.50 and 47,823

Step by Step Solution

1. Step 1: Write the proportion equation
   32,839.50 : 47,823 = 47,823 : x
2. Step 2: Convert to fraction form
   32,839.50/47,823 = 47,823/x
3. Step 3: Cross multiply
   32,839.50x = 47,823 × 47,823
4. Step 4: Simplify right side
   32,839.50x = 2,287,039,329
5. Step 5: Solve for x
   x = 2,287,039,329/32,839.50
6. Step 6: Final answer
   x = 69,642.94