Finding the Third Proportional to 31,736 and 75,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,736 : 75,188.50 = 75,188.50 : x
2. Step 2: Convert to fraction form
   31,736/75,188.50 = 75,188.50/x
3. Step 3: Cross multiply
   31,736x = 75,188.50 × 75,188.50
4. Step 4: Simplify right side
   31,736x = 5,653,310,532.25
5. Step 5: Solve for x
   x = 5,653,310,532.25/31,736
6. Step 6: Final answer
   x = 178,135.57