Finding the Third Proportional to 48,144 and 72,084

Step by Step Solution

1. Step 1: Write the proportion equation
   48,144 : 72,084 = 72,084 : x
2. Step 2: Convert to fraction form
   48,144/72,084 = 72,084/x
3. Step 3: Cross multiply
   48,144x = 72,084 × 72,084
4. Step 4: Simplify right side
   48,144x = 5,196,103,056
5. Step 5: Solve for x
   x = 5,196,103,056/48,144
6. Step 6: Final answer
   x = 107,928.36