Finding the Third Proportional to 31,176.75 and 68,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,176.75 : 68,185.50 = 68,185.50 : x
2. Step 2: Convert to fraction form
   31,176.75/68,185.50 = 68,185.50/x
3. Step 3: Cross multiply
   31,176.75x = 68,185.50 × 68,185.50
4. Step 4: Simplify right side
   31,176.75x = 4,649,262,410.25
5. Step 5: Solve for x
   x = 4,649,262,410.25/31,176.75
6. Step 6: Final answer
   x = 149,125.95