Finding the Third Proportional to 32,078 and 47,145

Step by Step Solution

1. Step 1: Write the proportion equation
   32,078 : 47,145 = 47,145 : x
2. Step 2: Convert to fraction form
   32,078/47,145 = 47,145/x
3. Step 3: Cross multiply
   32,078x = 47,145 × 47,145
4. Step 4: Simplify right side
   32,078x = 2,222,651,025
5. Step 5: Solve for x
   x = 2,222,651,025/32,078
6. Step 6: Final answer
   x = 69,288.95