Finding the Third Proportional to 17,634 and 37,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,634 : 37,729.50 = 37,729.50 : x
2. Step 2: Convert to fraction form
   17,634/37,729.50 = 37,729.50/x
3. Step 3: Cross multiply
   17,634x = 37,729.50 × 37,729.50
4. Step 4: Simplify right side
   17,634x = 1,423,515,170.25
5. Step 5: Solve for x
   x = 1,423,515,170.25/17,634
6. Step 6: Final answer
   x = 80,725.60