Finding the Third Proportional to 4,624 and 10,097

Step by Step Solution

1. Step 1: Write the proportion equation
   4,624 : 10,097 = 10,097 : x
2. Step 2: Convert to fraction form
   4,624/10,097 = 10,097/x
3. Step 3: Cross multiply
   4,624x = 10,097 × 10,097
4. Step 4: Simplify right side
   4,624x = 101,949,409
5. Step 5: Solve for x
   x = 101,949,409/4,624
6. Step 6: Final answer
   x = 22,047.88