Finding the Third Proportional to 34,047 and 37,287

Step by Step Solution

1. Step 1: Write the proportion equation
   34,047 : 37,287 = 37,287 : x
2. Step 2: Convert to fraction form
   34,047/37,287 = 37,287/x
3. Step 3: Cross multiply
   34,047x = 37,287 × 37,287
4. Step 4: Simplify right side
   34,047x = 1,390,320,369
5. Step 5: Solve for x
   x = 1,390,320,369/34,047
6. Step 6: Final answer
   x = 40,835.33