Finding the Third Proportional to 31,429 and 41,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,429 : 41,959.50 = 41,959.50 : x
2. Step 2: Convert to fraction form
   31,429/41,959.50 = 41,959.50/x
3. Step 3: Cross multiply
   31,429x = 41,959.50 × 41,959.50
4. Step 4: Simplify right side
   31,429x = 1,760,599,640.25
5. Step 5: Solve for x
   x = 1,760,599,640.25/31,429
6. Step 6: Final answer
   x = 56,018.32