Finding the Third Proportional to 13,185 and 30,285

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185 : 30,285 = 30,285 : x
2. Step 2: Convert to fraction form
   13,185/30,285 = 30,285/x
3. Step 3: Cross multiply
   13,185x = 30,285 × 30,285
4. Step 4: Simplify right side
   13,185x = 917,181,225
5. Step 5: Solve for x
   x = 917,181,225/13,185
6. Step 6: Final answer
   x = 69,562.47