Finding the Third Proportional to 31,413 and 55,395

Step by Step Solution

1. Step 1: Write the proportion equation
   31,413 : 55,395 = 55,395 : x
2. Step 2: Convert to fraction form
   31,413/55,395 = 55,395/x
3. Step 3: Cross multiply
   31,413x = 55,395 × 55,395
4. Step 4: Simplify right side
   31,413x = 3,068,606,025
5. Step 5: Solve for x
   x = 3,068,606,025/31,413
6. Step 6: Final answer
   x = 97,685.86