Finding the Third Proportional to 17,783.63 and 37,757.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,783.63 : 37,757.63 = 37,757.63 : x
2. Step 2: Convert to fraction form
   17,783.63/37,757.63 = 37,757.63/x
3. Step 3: Cross multiply
   17,783.63x = 37,757.63 × 37,757.63
4. Step 4: Simplify right side
   17,783.63x = 1,425,638,245.64
5. Step 5: Solve for x
   x = 1,425,638,245.64/17,783.63
6. Step 6: Final answer
   x = 80,165.78