Finding the Third Proportional to 31,178.25 and 34,094.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,178.25 : 34,094.25 = 34,094.25 : x
2. Step 2: Convert to fraction form
   31,178.25/34,094.25 = 34,094.25/x
3. Step 3: Cross multiply
   31,178.25x = 34,094.25 × 34,094.25
4. Step 4: Simplify right side
   31,178.25x = 1,162,417,883.06
5. Step 5: Solve for x
   x = 1,162,417,883.06/31,178.25
6. Step 6: Final answer
   x = 37,282.97