Finding the Third Proportional to 69,952.50 and 105,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,952.50 : 105,514.50 = 105,514.50 : x
2. Step 2: Convert to fraction form
   69,952.50/105,514.50 = 105,514.50/x
3. Step 3: Cross multiply
   69,952.50x = 105,514.50 × 105,514.50
4. Step 4: Simplify right side
   69,952.50x = 11,133,309,710.25
5. Step 5: Solve for x
   x = 11,133,309,710.25/69,952.50
6. Step 6: Final answer
   x = 159,155.28