Finding the Third Proportional to 9,146 and 13,525

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146 : 13,525 = 13,525 : x
2. Step 2: Convert to fraction form
   9,146/13,525 = 13,525/x
3. Step 3: Cross multiply
   9,146x = 13,525 × 13,525
4. Step 4: Simplify right side
   9,146x = 182,925,625
5. Step 5: Solve for x
   x = 182,925,625/9,146
6. Step 6: Final answer
   x = 20,000.62