Finding the Third Proportional to 32,216 and 46,399.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,216 : 46,399.75 = 46,399.75 : x
2. Step 2: Convert to fraction form
   32,216/46,399.75 = 46,399.75/x
3. Step 3: Cross multiply
   32,216x = 46,399.75 × 46,399.75
4. Step 4: Simplify right side
   32,216x = 2,152,936,800.06
5. Step 5: Solve for x
   x = 2,152,936,800.06/32,216
6. Step 6: Final answer
   x = 66,828.18