Finding the Third Proportional to 9,156 and 13,102

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156 : 13,102 = 13,102 : x
2. Step 2: Convert to fraction form
   9,156/13,102 = 13,102/x
3. Step 3: Cross multiply
   9,156x = 13,102 × 13,102
4. Step 4: Simplify right side
   9,156x = 171,662,404
5. Step 5: Solve for x
   x = 171,662,404/9,156
6. Step 6: Final answer
   x = 18,748.62