Finding the Third Proportional to 31,191.75 and 64,023.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,191.75 : 64,023.75 = 64,023.75 : x
2. Step 2: Convert to fraction form
   31,191.75/64,023.75 = 64,023.75/x
3. Step 3: Cross multiply
   31,191.75x = 64,023.75 × 64,023.75
4. Step 4: Simplify right side
   31,191.75x = 4,099,040,564.06
5. Step 5: Solve for x
   x = 4,099,040,564.06/31,191.75
6. Step 6: Final answer
   x = 131,414.25