Finding the Third Proportional to 9,597 and 10,527

Step by Step Solution

1. Step 1: Write the proportion equation
   9,597 : 10,527 = 10,527 : x
2. Step 2: Convert to fraction form
   9,597/10,527 = 10,527/x
3. Step 3: Cross multiply
   9,597x = 10,527 × 10,527
4. Step 4: Simplify right side
   9,597x = 110,817,729
5. Step 5: Solve for x
   x = 110,817,729/9,597
6. Step 6: Final answer
   x = 11,547.12