Finding the Third Proportional to 34,764.19 and 42,418.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34,764.19 : 42,418.69 = 42,418.69 : x
2. Step 2: Convert to fraction form
   34,764.19/42,418.69 = 42,418.69/x
3. Step 3: Cross multiply
   34,764.19x = 42,418.69 × 42,418.69
4. Step 4: Simplify right side
   34,764.19x = 1,799,345,049.22
5. Step 5: Solve for x
   x = 1,799,345,049.22/34,764.19
6. Step 6: Final answer
   x = 51,758.58