Finding the Third Proportional to 6,525 and 12,321

Step by Step Solution

1. Step 1: Write the proportion equation
   6,525 : 12,321 = 12,321 : x
2. Step 2: Convert to fraction form
   6,525/12,321 = 12,321/x
3. Step 3: Cross multiply
   6,525x = 12,321 × 12,321
4. Step 4: Simplify right side
   6,525x = 151,807,041
5. Step 5: Solve for x
   x = 151,807,041/6,525
6. Step 6: Final answer
   x = 23,265.45