Finding the Third Proportional to 69,664.50 and 105,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,664.50 : 105,145.50 = 105,145.50 : x
2. Step 2: Convert to fraction form
   69,664.50/105,145.50 = 105,145.50/x
3. Step 3: Cross multiply
   69,664.50x = 105,145.50 × 105,145.50
4. Step 4: Simplify right side
   69,664.50x = 11,055,576,170.25
5. Step 5: Solve for x
   x = 11,055,576,170.25/69,664.50
6. Step 6: Final answer
   x = 158,697.42