Finding the Third Proportional to 9,784 and 10,624

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784 : 10,624 = 10,624 : x
2. Step 2: Convert to fraction form
   9,784/10,624 = 10,624/x
3. Step 3: Cross multiply
   9,784x = 10,624 × 10,624
4. Step 4: Simplify right side
   9,784x = 112,869,376
5. Step 5: Solve for x
   x = 112,869,376/9,784
6. Step 6: Final answer
   x = 11,536.12