Finding the Third Proportional to 34,215.75 and 69,828.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,215.75 : 69,828.75 = 69,828.75 : x
2. Step 2: Convert to fraction form
   34,215.75/69,828.75 = 69,828.75/x
3. Step 3: Cross multiply
   34,215.75x = 69,828.75 × 69,828.75
4. Step 4: Simplify right side
   34,215.75x = 4,876,054,326.56
5. Step 5: Solve for x
   x = 4,876,054,326.56/34,215.75
6. Step 6: Final answer
   x = 142,509.06