Finding the Third Proportional to 17,638.50 and 37,680

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638.50 : 37,680 = 37,680 : x
2. Step 2: Convert to fraction form
   17,638.50/37,680 = 37,680/x
3. Step 3: Cross multiply
   17,638.50x = 37,680 × 37,680
4. Step 4: Simplify right side
   17,638.50x = 1,419,782,400
5. Step 5: Solve for x
   x = 1,419,782,400/17,638.50
6. Step 6: Final answer
   x = 80,493.38