Finding the Third Proportional to 32,160 and 69,504

Step by Step Solution

1. Step 1: Write the proportion equation
   32,160 : 69,504 = 69,504 : x
2. Step 2: Convert to fraction form
   32,160/69,504 = 69,504/x
3. Step 3: Cross multiply
   32,160x = 69,504 × 69,504
4. Step 4: Simplify right side
   32,160x = 4,830,806,016
5. Step 5: Solve for x
   x = 4,830,806,016/32,160
6. Step 6: Final answer
   x = 150,211.63