Finding the Third Proportional to 67,627.50 and 105,535.25

Step by Step Solution

1. Step 1: Write the proportion equation
   67,627.50 : 105,535.25 = 105,535.25 : x
2. Step 2: Convert to fraction form
   67,627.50/105,535.25 = 105,535.25/x
3. Step 3: Cross multiply
   67,627.50x = 105,535.25 × 105,535.25
4. Step 4: Simplify right side
   67,627.50x = 11,137,688,992.56
5. Step 5: Solve for x
   x = 11,137,688,992.56/67,627.50
6. Step 6: Final answer
   x = 164,691.72