Finding the Third Proportional to 9,614 and 21,316

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614 : 21,316 = 21,316 : x
2. Step 2: Convert to fraction form
   9,614/21,316 = 21,316/x
3. Step 3: Cross multiply
   9,614x = 21,316 × 21,316
4. Step 4: Simplify right side
   9,614x = 454,371,856
5. Step 5: Solve for x
   x = 454,371,856/9,614
6. Step 6: Final answer
   x = 47,261.48