Finding the Third Proportional to 32,823.50 and 70,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,823.50 : 70,317.50 = 70,317.50 : x
2. Step 2: Convert to fraction form
   32,823.50/70,317.50 = 70,317.50/x
3. Step 3: Cross multiply
   32,823.50x = 70,317.50 × 70,317.50
4. Step 4: Simplify right side
   32,823.50x = 4,944,550,806.25
5. Step 5: Solve for x
   x = 4,944,550,806.25/32,823.50
6. Step 6: Final answer
   x = 150,640.57