Finding the Third Proportional to 9,850 and 21,614

Step by Step Solution

1. Step 1: Write the proportion equation
   9,850 : 21,614 = 21,614 : x
2. Step 2: Convert to fraction form
   9,850/21,614 = 21,614/x
3. Step 3: Cross multiply
   9,850x = 21,614 × 21,614
4. Step 4: Simplify right side
   9,850x = 467,164,996
5. Step 5: Solve for x
   x = 467,164,996/9,850
6. Step 6: Final answer
   x = 47,427.92