Finding the Third Proportional to 17,638.50 and 37,704

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638.50 : 37,704 = 37,704 : x
2. Step 2: Convert to fraction form
   17,638.50/37,704 = 37,704/x
3. Step 3: Cross multiply
   17,638.50x = 37,704 × 37,704
4. Step 4: Simplify right side
   17,638.50x = 1,421,591,616
5. Step 5: Solve for x
   x = 1,421,591,616/17,638.50
6. Step 6: Final answer
   x = 80,595.95