Finding the Third Proportional to 42,175.69 and 47,643.19

Step by Step Solution

1. Step 1: Write the proportion equation
   42,175.69 : 47,643.19 = 47,643.19 : x
2. Step 2: Convert to fraction form
   42,175.69/47,643.19 = 47,643.19/x
3. Step 3: Cross multiply
   42,175.69x = 47,643.19 × 47,643.19
4. Step 4: Simplify right side
   42,175.69x = 2,269,873,315.16
5. Step 5: Solve for x
   x = 2,269,873,315.16/42,175.69
6. Step 6: Final answer
   x = 53,819.47