Finding the Third Proportional to 9,742 and 21,350

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742 : 21,350 = 21,350 : x
2. Step 2: Convert to fraction form
   9,742/21,350 = 21,350/x
3. Step 3: Cross multiply
   9,742x = 21,350 × 21,350
4. Step 4: Simplify right side
   9,742x = 455,822,500
5. Step 5: Solve for x
   x = 455,822,500/9,742
6. Step 6: Final answer
   x = 46,789.42