Finding the Third Proportional to 32,112 and 69,816

Step by Step Solution

1. Step 1: Write the proportion equation
   32,112 : 69,816 = 69,816 : x
2. Step 2: Convert to fraction form
   32,112/69,816 = 69,816/x
3. Step 3: Cross multiply
   32,112x = 69,816 × 69,816
4. Step 4: Simplify right side
   32,112x = 4,874,273,856
5. Step 5: Solve for x
   x = 4,874,273,856/32,112
6. Step 6: Final answer
   x = 151,789.79