Finding the Third Proportional to 31,875 and 49,185

Step by Step Solution

1. Step 1: Write the proportion equation
   31,875 : 49,185 = 49,185 : x
2. Step 2: Convert to fraction form
   31,875/49,185 = 49,185/x
3. Step 3: Cross multiply
   31,875x = 49,185 × 49,185
4. Step 4: Simplify right side
   31,875x = 2,419,164,225
5. Step 5: Solve for x
   x = 2,419,164,225/31,875
6. Step 6: Final answer
   x = 75,895.35