Finding the Third Proportional to 17,800.50 and 37,797

Step by Step Solution

1. Step 1: Write the proportion equation
   17,800.50 : 37,797 = 37,797 : x
2. Step 2: Convert to fraction form
   17,800.50/37,797 = 37,797/x
3. Step 3: Cross multiply
   17,800.50x = 37,797 × 37,797
4. Step 4: Simplify right side
   17,800.50x = 1,428,613,209
5. Step 5: Solve for x
   x = 1,428,613,209/17,800.50
6. Step 6: Final answer
   x = 80,256.91