Finding the Third Proportional to 9,900 and 10,737

Step by Step Solution

1. Step 1: Write the proportion equation
   9,900 : 10,737 = 10,737 : x
2. Step 2: Convert to fraction form
   9,900/10,737 = 10,737/x
3. Step 3: Cross multiply
   9,900x = 10,737 × 10,737
4. Step 4: Simplify right side
   9,900x = 115,283,169
5. Step 5: Solve for x
   x = 115,283,169/9,900
6. Step 6: Final answer
   x = 11,644.76