Finding the Third Proportional to 31,178.25 and 64,194.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,178.25 : 64,194.75 = 64,194.75 : x
2. Step 2: Convert to fraction form
   31,178.25/64,194.75 = 64,194.75/x
3. Step 3: Cross multiply
   31,178.25x = 64,194.75 × 64,194.75
4. Step 4: Simplify right side
   31,178.25x = 4,120,965,927.56
5. Step 5: Solve for x
   x = 4,120,965,927.56/31,178.25
6. Step 6: Final answer
   x = 132,174.38