Finding the Third Proportional to 48,432 and 72,678

Step by Step Solution

1. Step 1: Write the proportion equation
   48,432 : 72,678 = 72,678 : x
2. Step 2: Convert to fraction form
   48,432/72,678 = 72,678/x
3. Step 3: Cross multiply
   48,432x = 72,678 × 72,678
4. Step 4: Simplify right side
   48,432x = 5,282,091,684
5. Step 5: Solve for x
   x = 5,282,091,684/48,432
6. Step 6: Final answer
   x = 109,062.02