Finding the Third Proportional to 9,742 and 17,594

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742 : 17,594 = 17,594 : x
2. Step 2: Convert to fraction form
   9,742/17,594 = 17,594/x
3. Step 3: Cross multiply
   9,742x = 17,594 × 17,594
4. Step 4: Simplify right side
   9,742x = 309,548,836
5. Step 5: Solve for x
   x = 309,548,836/9,742
6. Step 6: Final answer
   x = 31,774.67