Finding the Third Proportional to 46,749 and 72,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,749 : 72,508.50 = 72,508.50 : x
2. Step 2: Convert to fraction form
   46,749/72,508.50 = 72,508.50/x
3. Step 3: Cross multiply
   46,749x = 72,508.50 × 72,508.50
4. Step 4: Simplify right side
   46,749x = 5,257,482,572.25
5. Step 5: Solve for x
   x = 5,257,482,572.25/46,749
6. Step 6: Final answer
   x = 112,461.93