Finding the Third Proportional to 30,960 and 46,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,960 : 46,738.50 = 46,738.50 : x
2. Step 2: Convert to fraction form
   30,960/46,738.50 = 46,738.50/x
3. Step 3: Cross multiply
   30,960x = 46,738.50 × 46,738.50
4. Step 4: Simplify right side
   30,960x = 2,184,487,382.25
5. Step 5: Solve for x
   x = 2,184,487,382.25/30,960
6. Step 6: Final answer
   x = 70,558.38