Finding the Third Proportional to 32,144 and 69,632

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 69,632 = 69,632 : x
2. Step 2: Convert to fraction form
   32,144/69,632 = 69,632/x
3. Step 3: Cross multiply
   32,144x = 69,632 × 69,632
4. Step 4: Simplify right side
   32,144x = 4,848,615,424
5. Step 5: Solve for x
   x = 4,848,615,424/32,144
6. Step 6: Final answer
   x = 150,840.45