Finding the Third Proportional to 27,637 and 42,503

Step by Step Solution

1. Step 1: Write the proportion equation
   27,637 : 42,503 = 42,503 : x
2. Step 2: Convert to fraction form
   27,637/42,503 = 42,503/x
3. Step 3: Cross multiply
   27,637x = 42,503 × 42,503
4. Step 4: Simplify right side
   27,637x = 1,806,505,009
5. Step 5: Solve for x
   x = 1,806,505,009/27,637
6. Step 6: Final answer
   x = 65,365.45