Finding the Third Proportional to 10,212 and 21,342

Step by Step Solution

1. Step 1: Write the proportion equation
   10,212 : 21,342 = 21,342 : x
2. Step 2: Convert to fraction form
   10,212/21,342 = 21,342/x
3. Step 3: Cross multiply
   10,212x = 21,342 × 21,342
4. Step 4: Simplify right side
   10,212x = 455,480,964
5. Step 5: Solve for x
   x = 455,480,964/10,212
6. Step 6: Final answer
   x = 44,602.52