Finding the Third Proportional to 9,740 and 21,346

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 21,346 = 21,346 : x
2. Step 2: Convert to fraction form
   9,740/21,346 = 21,346/x
3. Step 3: Cross multiply
   9,740x = 21,346 × 21,346
4. Step 4: Simplify right side
   9,740x = 455,651,716
5. Step 5: Solve for x
   x = 455,651,716/9,740
6. Step 6: Final answer
   x = 46,781.49