Finding the Third Proportional to 33,216 and 69,508

Step by Step Solution

1. Step 1: Write the proportion equation
   33,216 : 69,508 = 69,508 : x
2. Step 2: Convert to fraction form
   33,216/69,508 = 69,508/x
3. Step 3: Cross multiply
   33,216x = 69,508 × 69,508
4. Step 4: Simplify right side
   33,216x = 4,831,362,064
5. Step 5: Solve for x
   x = 4,831,362,064/33,216
6. Step 6: Final answer
   x = 145,452.86