Finding the Third Proportional to 46,783 and 72,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,783 : 72,018.50 = 72,018.50 : x
2. Step 2: Convert to fraction form
   46,783/72,018.50 = 72,018.50/x
3. Step 3: Cross multiply
   46,783x = 72,018.50 × 72,018.50
4. Step 4: Simplify right side
   46,783x = 5,186,664,342.25
5. Step 5: Solve for x
   x = 5,186,664,342.25/46,783
6. Step 6: Final answer
   x = 110,866.43