Finding the Third Proportional to 48,648 and 69,564

Step by Step Solution

1. Step 1: Write the proportion equation
   48,648 : 69,564 = 69,564 : x
2. Step 2: Convert to fraction form
   48,648/69,564 = 69,564/x
3. Step 3: Cross multiply
   48,648x = 69,564 × 69,564
4. Step 4: Simplify right side
   48,648x = 4,839,150,096
5. Step 5: Solve for x
   x = 4,839,150,096/48,648
6. Step 6: Final answer
   x = 99,472.74