Finding the Third Proportional to 17,759 and 37,219

Step by Step Solution

1. Step 1: Write the proportion equation
   17,759 : 37,219 = 37,219 : x
2. Step 2: Convert to fraction form
   17,759/37,219 = 37,219/x
3. Step 3: Cross multiply
   17,759x = 37,219 × 37,219
4. Step 4: Simplify right side
   17,759x = 1,385,253,961
5. Step 5: Solve for x
   x = 1,385,253,961/17,759
6. Step 6: Final answer
   x = 78,002.93