Finding the Third Proportional to 17,541 and 37,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,541 : 37,996.50 = 37,996.50 : x
2. Step 2: Convert to fraction form
   17,541/37,996.50 = 37,996.50/x
3. Step 3: Cross multiply
   17,541x = 37,996.50 × 37,996.50
4. Step 4: Simplify right side
   17,541x = 1,443,734,012.25
5. Step 5: Solve for x
   x = 1,443,734,012.25/17,541
6. Step 6: Final answer
   x = 82,306.25