Finding the Third Proportional to 31,431 and 41,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,431 : 41,962.50 = 41,962.50 : x
2. Step 2: Convert to fraction form
   31,431/41,962.50 = 41,962.50/x
3. Step 3: Cross multiply
   31,431x = 41,962.50 × 41,962.50
4. Step 4: Simplify right side
   31,431x = 1,760,851,406.25
5. Step 5: Solve for x
   x = 1,760,851,406.25/31,431
6. Step 6: Final answer
   x = 56,022.76