Finding the Third Proportional to 31,253 and 41,749

Step by Step Solution

1. Step 1: Write the proportion equation
   31,253 : 41,749 = 41,749 : x
2. Step 2: Convert to fraction form
   31,253/41,749 = 41,749/x
3. Step 3: Cross multiply
   31,253x = 41,749 × 41,749
4. Step 4: Simplify right side
   31,253x = 1,742,979,001
5. Step 5: Solve for x
   x = 1,742,979,001/31,253
6. Step 6: Final answer
   x = 55,769.97