Finding the Third Proportional to 31,179.25 and 68,181

Step by Step Solution

1. Step 1: Write the proportion equation
   31,179.25 : 68,181 = 68,181 : x
2. Step 2: Convert to fraction form
   31,179.25/68,181 = 68,181/x
3. Step 3: Cross multiply
   31,179.25x = 68,181 × 68,181
4. Step 4: Simplify right side
   31,179.25x = 4,648,648,761
5. Step 5: Solve for x
   x = 4,648,648,761/31,179.25
6. Step 6: Final answer
   x = 149,094.31