Finding the Third Proportional to 32,160 and 69,216

Step by Step Solution

1. Step 1: Write the proportion equation
   32,160 : 69,216 = 69,216 : x
2. Step 2: Convert to fraction form
   32,160/69,216 = 69,216/x
3. Step 3: Cross multiply
   32,160x = 69,216 × 69,216
4. Step 4: Simplify right side
   32,160x = 4,790,854,656
5. Step 5: Solve for x
   x = 4,790,854,656/32,160
6. Step 6: Final answer
   x = 148,969.36