Finding the Third Proportional to 39,096 and 64,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,096 : 64,709.50 = 64,709.50 : x
2. Step 2: Convert to fraction form
   39,096/64,709.50 = 64,709.50/x
3. Step 3: Cross multiply
   39,096x = 64,709.50 × 64,709.50
4. Step 4: Simplify right side
   39,096x = 4,187,319,390.25
5. Step 5: Solve for x
   x = 4,187,319,390.25/39,096
6. Step 6: Final answer
   x = 107,103.52