Finding the Third Proportional to 9,536 and 10,460

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 10,460 = 10,460 : x
2. Step 2: Convert to fraction form
   9,536/10,460 = 10,460/x
3. Step 3: Cross multiply
   9,536x = 10,460 × 10,460
4. Step 4: Simplify right side
   9,536x = 109,411,600
5. Step 5: Solve for x
   x = 109,411,600/9,536
6. Step 6: Final answer
   x = 11,473.53