Finding the Third Proportional to 27,648 and 42,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 42,880.50 = 42,880.50 : x
2. Step 2: Convert to fraction form
   27,648/42,880.50 = 42,880.50/x
3. Step 3: Cross multiply
   27,648x = 42,880.50 × 42,880.50
4. Step 4: Simplify right side
   27,648x = 1,838,737,280.25
5. Step 5: Solve for x
   x = 1,838,737,280.25/27,648
6. Step 6: Final answer
   x = 66,505.25