Finding the Third Proportional to 32,823 and 71,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,823 : 71,585.25 = 71,585.25 : x
2. Step 2: Convert to fraction form
   32,823/71,585.25 = 71,585.25/x
3. Step 3: Cross multiply
   32,823x = 71,585.25 × 71,585.25
4. Step 4: Simplify right side
   32,823x = 5,124,448,017.56
5. Step 5: Solve for x
   x = 5,124,448,017.56/32,823
6. Step 6: Final answer
   x = 156,123.69