Finding the Third Proportional to 31,410 and 48,123

Step by Step Solution

1. Step 1: Write the proportion equation
   31,410 : 48,123 = 48,123 : x
2. Step 2: Convert to fraction form
   31,410/48,123 = 48,123/x
3. Step 3: Cross multiply
   31,410x = 48,123 × 48,123
4. Step 4: Simplify right side
   31,410x = 2,315,823,129
5. Step 5: Solve for x
   x = 2,315,823,129/31,410
6. Step 6: Final answer
   x = 73,728.85