Finding the Third Proportional to 31,404 and 68,261.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,404 : 68,261.75 = 68,261.75 : x
2. Step 2: Convert to fraction form
   31,404/68,261.75 = 68,261.75/x
3. Step 3: Cross multiply
   31,404x = 68,261.75 × 68,261.75
4. Step 4: Simplify right side
   31,404x = 4,659,666,513.06
5. Step 5: Solve for x
   x = 4,659,666,513.06/31,404
6. Step 6: Final answer
   x = 148,378.12