Finding the Third Proportional to 32,823.35 and 52,105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   32,823.35 : 52,105.78 = 52,105.78 : x
2. Step 2: Convert to fraction form
   32,823.35/52,105.78 = 52,105.78/x
3. Step 3: Cross multiply
   32,823.35x = 52,105.78 × 52,105.78
4. Step 4: Simplify right side
   32,823.35x = 2,715,012,439.67
5. Step 5: Solve for x
   x = 2,715,012,439.67/32,823.35
6. Step 6: Final answer
   x = 82,715.88