Finding the Third Proportional to 9,870 and 14,654

Step by Step Solution

1. Step 1: Write the proportion equation
   9,870 : 14,654 = 14,654 : x
2. Step 2: Convert to fraction form
   9,870/14,654 = 14,654/x
3. Step 3: Cross multiply
   9,870x = 14,654 × 14,654
4. Step 4: Simplify right side
   9,870x = 214,739,716
5. Step 5: Solve for x
   x = 214,739,716/9,870
6. Step 6: Final answer
   x = 21,756.81