Finding the Third Proportional to 27,976 and 42,371

Step by Step Solution

1. Step 1: Write the proportion equation
   27,976 : 42,371 = 42,371 : x
2. Step 2: Convert to fraction form
   27,976/42,371 = 42,371/x
3. Step 3: Cross multiply
   27,976x = 42,371 × 42,371
4. Step 4: Simplify right side
   27,976x = 1,795,301,641
5. Step 5: Solve for x
   x = 1,795,301,641/27,976
6. Step 6: Final answer
   x = 64,172.92