Finding the Third Proportional to 17,729.44 and 37,805.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,729.44 : 37,805.63 = 37,805.63 : x
2. Step 2: Convert to fraction form
   17,729.44/37,805.63 = 37,805.63/x
3. Step 3: Cross multiply
   17,729.44x = 37,805.63 × 37,805.63
4. Step 4: Simplify right side
   17,729.44x = 1,429,265,281.64
5. Step 5: Solve for x
   x = 1,429,265,281.64/17,729.44
6. Step 6: Final answer
   x = 80,615.38