Finding the Third Proportional to 31,164.75 and 68,738.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164.75 : 68,738.63 = 68,738.63 : x
2. Step 2: Convert to fraction form
   31,164.75/68,738.63 = 68,738.63/x
3. Step 3: Cross multiply
   31,164.75x = 68,738.63 × 68,738.63
4. Step 4: Simplify right side
   31,164.75x = 4,724,998,566.89
5. Step 5: Solve for x
   x = 4,724,998,566.89/31,164.75
6. Step 6: Final answer
   x = 151,613.56