Finding the Third Proportional to 27,643 and 64,981

Step by Step Solution

1. Step 1: Write the proportion equation
   27,643 : 64,981 = 64,981 : x
2. Step 2: Convert to fraction form
   27,643/64,981 = 64,981/x
3. Step 3: Cross multiply
   27,643x = 64,981 × 64,981
4. Step 4: Simplify right side
   27,643x = 4,222,530,361
5. Step 5: Solve for x
   x = 4,222,530,361/27,643
6. Step 6: Final answer
   x = 152,752.25