Finding the Third Proportional to 17,632.69 and 37,657.41

Step by Step Solution

1. Step 1: Write the proportion equation
   17,632.69 : 37,657.41 = 37,657.41 : x
2. Step 2: Convert to fraction form
   17,632.69/37,657.41 = 37,657.41/x
3. Step 3: Cross multiply
   17,632.69x = 37,657.41 × 37,657.41
4. Step 4: Simplify right side
   17,632.69x = 1,418,080,245.48
5. Step 5: Solve for x
   x = 1,418,080,245.48/17,632.69
6. Step 6: Final answer
   x = 80,423.38