Finding the Third Proportional to 31,376 and 49,215

Step by Step Solution

1. Step 1: Write the proportion equation
   31,376 : 49,215 = 49,215 : x
2. Step 2: Convert to fraction form
   31,376/49,215 = 49,215/x
3. Step 3: Cross multiply
   31,376x = 49,215 × 49,215
4. Step 4: Simplify right side
   31,376x = 2,422,116,225
5. Step 5: Solve for x
   x = 2,422,116,225/31,376
6. Step 6: Final answer
   x = 77,196.46