Finding the Third Proportional to 27,688 and 42,944

Step by Step Solution

1. Step 1: Write the proportion equation
   27,688 : 42,944 = 42,944 : x
2. Step 2: Convert to fraction form
   27,688/42,944 = 42,944/x
3. Step 3: Cross multiply
   27,688x = 42,944 × 42,944
4. Step 4: Simplify right side
   27,688x = 1,844,187,136
5. Step 5: Solve for x
   x = 1,844,187,136/27,688
6. Step 6: Final answer
   x = 66,606.01