Finding the Third Proportional to 31,731.75 and 37,837.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,731.75 : 37,837.13 = 37,837.13 : x
2. Step 2: Convert to fraction form
   31,731.75/37,837.13 = 37,837.13/x
3. Step 3: Cross multiply
   31,731.75x = 37,837.13 × 37,837.13
4. Step 4: Simplify right side
   31,731.75x = 1,431,648,028.27
5. Step 5: Solve for x
   x = 1,431,648,028.27/31,731.75
6. Step 6: Final answer
   x = 45,117.21