Finding the Third Proportional to 7,801 and 17,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,801 : 17,918.50 = 17,918.50 : x
2. Step 2: Convert to fraction form
   7,801/17,918.50 = 17,918.50/x
3. Step 3: Cross multiply
   7,801x = 17,918.50 × 17,918.50
4. Step 4: Simplify right side
   7,801x = 321,072,642.25
5. Step 5: Solve for x
   x = 321,072,642.25/7,801
6. Step 6: Final answer
   x = 41,157.88