Finding the Third Proportional to 43,725 and 65,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,725 : 65,596.50 = 65,596.50 : x
2. Step 2: Convert to fraction form
   43,725/65,596.50 = 65,596.50/x
3. Step 3: Cross multiply
   43,725x = 65,596.50 × 65,596.50
4. Step 4: Simplify right side
   43,725x = 4,302,900,812.25
5. Step 5: Solve for x
   x = 4,302,900,812.25/43,725
6. Step 6: Final answer
   x = 98,408.25