Finding the Third Proportional to 27,629 and 42,492

Step by Step Solution

1. Step 1: Write the proportion equation
   27,629 : 42,492 = 42,492 : x
2. Step 2: Convert to fraction form
   27,629/42,492 = 42,492/x
3. Step 3: Cross multiply
   27,629x = 42,492 × 42,492
4. Step 4: Simplify right side
   27,629x = 1,805,570,064
5. Step 5: Solve for x
   x = 1,805,570,064/27,629
6. Step 6: Final answer
   x = 65,350.54