Finding the Third Proportional to 9,126 and 13,364

Step by Step Solution

1. Step 1: Write the proportion equation
   9,126 : 13,364 = 13,364 : x
2. Step 2: Convert to fraction form
   9,126/13,364 = 13,364/x
3. Step 3: Cross multiply
   9,126x = 13,364 × 13,364
4. Step 4: Simplify right side
   9,126x = 178,596,496
5. Step 5: Solve for x
   x = 178,596,496/9,126
6. Step 6: Final answer
   x = 19,570.07