Finding the Third Proportional to 31,365 and 73,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,365 : 73,909.50 = 73,909.50 : x
2. Step 2: Convert to fraction form
   31,365/73,909.50 = 73,909.50/x
3. Step 3: Cross multiply
   31,365x = 73,909.50 × 73,909.50
4. Step 4: Simplify right side
   31,365x = 5,462,614,190.25
5. Step 5: Solve for x
   x = 5,462,614,190.25/31,365
6. Step 6: Final answer
   x = 174,162.74