Finding the Third Proportional to 31,468 and 49,362

Step by Step Solution

1. Step 1: Write the proportion equation
   31,468 : 49,362 = 49,362 : x
2. Step 2: Convert to fraction form
   31,468/49,362 = 49,362/x
3. Step 3: Cross multiply
   31,468x = 49,362 × 49,362
4. Step 4: Simplify right side
   31,468x = 2,436,607,044
5. Step 5: Solve for x
   x = 2,436,607,044/31,468
6. Step 6: Final answer
   x = 77,431.26