Finding the Third Proportional to 31,806 and 73,558

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 73,558 = 73,558 : x
2. Step 2: Convert to fraction form
   31,806/73,558 = 73,558/x
3. Step 3: Cross multiply
   31,806x = 73,558 × 73,558
4. Step 4: Simplify right side
   31,806x = 5,410,779,364
5. Step 5: Solve for x
   x = 5,410,779,364/31,806
6. Step 6: Final answer
   x = 170,118.20