Finding the Third Proportional to 9,701 and 14,600

Step by Step Solution

1. Step 1: Write the proportion equation
   9,701 : 14,600 = 14,600 : x
2. Step 2: Convert to fraction form
   9,701/14,600 = 14,600/x
3. Step 3: Cross multiply
   9,701x = 14,600 × 14,600
4. Step 4: Simplify right side
   9,701x = 213,160,000
5. Step 5: Solve for x
   x = 213,160,000/9,701
6. Step 6: Final answer
   x = 21,972.99