Finding the Third Proportional to 6,300 and 13,575

Step by Step Solution

1. Step 1: Write the proportion equation
   6,300 : 13,575 = 13,575 : x
2. Step 2: Convert to fraction form
   6,300/13,575 = 13,575/x
3. Step 3: Cross multiply
   6,300x = 13,575 × 13,575
4. Step 4: Simplify right side
   6,300x = 184,280,625
5. Step 5: Solve for x
   x = 184,280,625/6,300
6. Step 6: Final answer
   x = 29,250.89