Finding the Third Proportional to 32,493.50 and 69,823

Step by Step Solution

1. Step 1: Write the proportion equation
   32,493.50 : 69,823 = 69,823 : x
2. Step 2: Convert to fraction form
   32,493.50/69,823 = 69,823/x
3. Step 3: Cross multiply
   32,493.50x = 69,823 × 69,823
4. Step 4: Simplify right side
   32,493.50x = 4,875,251,329
5. Step 5: Solve for x
   x = 4,875,251,329/32,493.50
6. Step 6: Final answer
   x = 150,037.74