Finding the Third Proportional to 46,767 and 65,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,767 : 65,782.50 = 65,782.50 : x
2. Step 2: Convert to fraction form
   46,767/65,782.50 = 65,782.50/x
3. Step 3: Cross multiply
   46,767x = 65,782.50 × 65,782.50
4. Step 4: Simplify right side
   46,767x = 4,327,337,306.25
5. Step 5: Solve for x
   x = 4,327,337,306.25/46,767
6. Step 6: Final answer
   x = 92,529.72