Finding the Third Proportional to 6,285 and 12,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,285 : 12,475.50 = 12,475.50 : x
2. Step 2: Convert to fraction form
   6,285/12,475.50 = 12,475.50/x
3. Step 3: Cross multiply
   6,285x = 12,475.50 × 12,475.50
4. Step 4: Simplify right side
   6,285x = 155,638,100.25
5. Step 5: Solve for x
   x = 155,638,100.25/6,285
6. Step 6: Final answer
   x = 24,763.42