Finding the Third Proportional to 17,536 and 24,606

Step by Step Solution

1. Step 1: Write the proportion equation
   17,536 : 24,606 = 24,606 : x
2. Step 2: Convert to fraction form
   17,536/24,606 = 24,606/x
3. Step 3: Cross multiply
   17,536x = 24,606 × 24,606
4. Step 4: Simplify right side
   17,536x = 605,455,236
5. Step 5: Solve for x
   x = 605,455,236/17,536
6. Step 6: Final answer
   x = 34,526.42