Finding the Third Proportional to 30,835 and 46,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,835 : 46,168.50 = 46,168.50 : x
2. Step 2: Convert to fraction form
   30,835/46,168.50 = 46,168.50/x
3. Step 3: Cross multiply
   30,835x = 46,168.50 × 46,168.50
4. Step 4: Simplify right side
   30,835x = 2,131,530,392.25
5. Step 5: Solve for x
   x = 2,131,530,392.25/30,835
6. Step 6: Final answer
   x = 69,126.98