Finding the Third Proportional to 31,268 and 73,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,268 : 73,766.50 = 73,766.50 : x
2. Step 2: Convert to fraction form
   31,268/73,766.50 = 73,766.50/x
3. Step 3: Cross multiply
   31,268x = 73,766.50 × 73,766.50
4. Step 4: Simplify right side
   31,268x = 5,441,496,522.25
5. Step 5: Solve for x
   x = 5,441,496,522.25/31,268
6. Step 6: Final answer
   x = 174,027.65