Finding the Third Proportional to 31,529.25 and 68,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,529.25 : 68,978.25 = 68,978.25 : x
2. Step 2: Convert to fraction form
   31,529.25/68,978.25 = 68,978.25/x
3. Step 3: Cross multiply
   31,529.25x = 68,978.25 × 68,978.25
4. Step 4: Simplify right side
   31,529.25x = 4,757,998,973.06
5. Step 5: Solve for x
   x = 4,757,998,973.06/31,529.25
6. Step 6: Final answer
   x = 150,907.46