Finding the Third Proportional to 9,364 and 12,527

Step by Step Solution

1. Step 1: Write the proportion equation
   9,364 : 12,527 = 12,527 : x
2. Step 2: Convert to fraction form
   9,364/12,527 = 12,527/x
3. Step 3: Cross multiply
   9,364x = 12,527 × 12,527
4. Step 4: Simplify right side
   9,364x = 156,925,729
5. Step 5: Solve for x
   x = 156,925,729/9,364
6. Step 6: Final answer
   x = 16,758.41