Finding the Third Proportional to 46,777.50 and 72,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,777.50 : 72,011.50 = 72,011.50 : x
2. Step 2: Convert to fraction form
   46,777.50/72,011.50 = 72,011.50/x
3. Step 3: Cross multiply
   46,777.50x = 72,011.50 × 72,011.50
4. Step 4: Simplify right side
   46,777.50x = 5,185,656,132.25
5. Step 5: Solve for x
   x = 5,185,656,132.25/46,777.50
6. Step 6: Final answer
   x = 110,857.92