Finding the Third Proportional to 27,378 and 42,940.13

Step by Step Solution

1. Step 1: Write the proportion equation
   27,378 : 42,940.13 = 42,940.13 : x
2. Step 2: Convert to fraction form
   27,378/42,940.13 = 42,940.13/x
3. Step 3: Cross multiply
   27,378x = 42,940.13 × 42,940.13
4. Step 4: Simplify right side
   27,378x = 1,843,854,335.02
5. Step 5: Solve for x
   x = 1,843,854,335.02/27,378
6. Step 6: Final answer
   x = 67,348.03