Finding the Third Proportional to 27,702 and 42,606

Step by Step Solution

1. Step 1: Write the proportion equation
   27,702 : 42,606 = 42,606 : x
2. Step 2: Convert to fraction form
   27,702/42,606 = 42,606/x
3. Step 3: Cross multiply
   27,702x = 42,606 × 42,606
4. Step 4: Simplify right side
   27,702x = 1,815,271,236
5. Step 5: Solve for x
   x = 1,815,271,236/27,702
6. Step 6: Final answer
   x = 65,528.53