Finding the Third Proportional to 65,400 and 95,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,400 : 95,767.50 = 95,767.50 : x
2. Step 2: Convert to fraction form
   65,400/95,767.50 = 95,767.50/x
3. Step 3: Cross multiply
   65,400x = 95,767.50 × 95,767.50
4. Step 4: Simplify right side
   65,400x = 9,171,414,056.25
5. Step 5: Solve for x
   x = 9,171,414,056.25/65,400
6. Step 6: Final answer
   x = 140,235.69