Finding the Third Proportional to 71,734.50 and 105,297.75

Step by Step Solution

1. Step 1: Write the proportion equation
   71,734.50 : 105,297.75 = 105,297.75 : x
2. Step 2: Convert to fraction form
   71,734.50/105,297.75 = 105,297.75/x
3. Step 3: Cross multiply
   71,734.50x = 105,297.75 × 105,297.75
4. Step 4: Simplify right side
   71,734.50x = 11,087,616,155.06
5. Step 5: Solve for x
   x = 11,087,616,155.06/71,734.50
6. Step 6: Final answer
   x = 154,564.63