Finding the Third Proportional to 27,729 and 42,664

Step by Step Solution

1. Step 1: Write the proportion equation
   27,729 : 42,664 = 42,664 : x
2. Step 2: Convert to fraction form
   27,729/42,664 = 42,664/x
3. Step 3: Cross multiply
   27,729x = 42,664 × 42,664
4. Step 4: Simplify right side
   27,729x = 1,820,216,896
5. Step 5: Solve for x
   x = 1,820,216,896/27,729
6. Step 6: Final answer
   x = 65,643.08