Finding the Third Proportional to 27,640.50 and 42,510

Step by Step Solution

1. Step 1: Write the proportion equation
   27,640.50 : 42,510 = 42,510 : x
2. Step 2: Convert to fraction form
   27,640.50/42,510 = 42,510/x
3. Step 3: Cross multiply
   27,640.50x = 42,510 × 42,510
4. Step 4: Simplify right side
   27,640.50x = 1,807,100,100
5. Step 5: Solve for x
   x = 1,807,100,100/27,640.50
6. Step 6: Final answer
   x = 65,378.71