Finding the Third Proportional to 31,614 and 73,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,614 : 73,189.50 = 73,189.50 : x
2. Step 2: Convert to fraction form
   31,614/73,189.50 = 73,189.50/x
3. Step 3: Cross multiply
   31,614x = 73,189.50 × 73,189.50
4. Step 4: Simplify right side
   31,614x = 5,356,702,910.25
5. Step 5: Solve for x
   x = 5,356,702,910.25/31,614
6. Step 6: Final answer
   x = 169,440.85