Finding the Third Proportional to 32,835.75 and 52,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   32,835.75 : 52,002.56 = 52,002.56 : x
2. Step 2: Convert to fraction form
   32,835.75/52,002.56 = 52,002.56/x
3. Step 3: Cross multiply
   32,835.75x = 52,002.56 × 52,002.56
4. Step 4: Simplify right side
   32,835.75x = 2,704,266,506.57
5. Step 5: Solve for x
   x = 2,704,266,506.57/32,835.75
6. Step 6: Final answer
   x = 82,357.39