Finding the Third Proportional to 40,833 and 65,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,833 : 65,767.50 = 65,767.50 : x
2. Step 2: Convert to fraction form
   40,833/65,767.50 = 65,767.50/x
3. Step 3: Cross multiply
   40,833x = 65,767.50 × 65,767.50
4. Step 4: Simplify right side
   40,833x = 4,325,364,056.25
5. Step 5: Solve for x
   x = 4,325,364,056.25/40,833
6. Step 6: Final answer
   x = 105,928.15