Finding the Third Proportional to 17,788 and 37,256

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788 : 37,256 = 37,256 : x
2. Step 2: Convert to fraction form
   17,788/37,256 = 37,256/x
3. Step 3: Cross multiply
   17,788x = 37,256 × 37,256
4. Step 4: Simplify right side
   17,788x = 1,388,009,536
5. Step 5: Solve for x
   x = 1,388,009,536/17,788
6. Step 6: Final answer
   x = 78,030.67