Finding the Third Proportional to 69,574.50 and 105,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,574.50 : 105,005.25 = 105,005.25 : x
2. Step 2: Convert to fraction form
   69,574.50/105,005.25 = 105,005.25/x
3. Step 3: Cross multiply
   69,574.50x = 105,005.25 × 105,005.25
4. Step 4: Simplify right side
   69,574.50x = 11,026,102,527.56
5. Step 5: Solve for x
   x = 11,026,102,527.56/69,574.50
6. Step 6: Final answer
   x = 158,479.08