Finding the Third Proportional to 31,275 and 63,824

Step by Step Solution

1. Step 1: Write the proportion equation
   31,275 : 63,824 = 63,824 : x
2. Step 2: Convert to fraction form
   31,275/63,824 = 63,824/x
3. Step 3: Cross multiply
   31,275x = 63,824 × 63,824
4. Step 4: Simplify right side
   31,275x = 4,073,502,976
5. Step 5: Solve for x
   x = 4,073,502,976/31,275
6. Step 6: Final answer
   x = 130,247.90