Finding the Third Proportional to 31,806 and 48,114

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 48,114 = 48,114 : x
2. Step 2: Convert to fraction form
   31,806/48,114 = 48,114/x
3. Step 3: Cross multiply
   31,806x = 48,114 × 48,114
4. Step 4: Simplify right side
   31,806x = 2,314,956,996
5. Step 5: Solve for x
   x = 2,314,956,996/31,806
6. Step 6: Final answer
   x = 72,783.66