Finding the Third Proportional to 31,090.50 and 37,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,090.50 : 37,401.75 = 37,401.75 : x
2. Step 2: Convert to fraction form
   31,090.50/37,401.75 = 37,401.75/x
3. Step 3: Cross multiply
   31,090.50x = 37,401.75 × 37,401.75
4. Step 4: Simplify right side
   31,090.50x = 1,398,890,903.06
5. Step 5: Solve for x
   x = 1,398,890,903.06/31,090.50
6. Step 6: Final answer
   x = 44,994.16