Finding the Third Proportional to 46,938 and 72,777.75

Step by Step Solution

1. Step 1: Write the proportion equation
   46,938 : 72,777.75 = 72,777.75 : x
2. Step 2: Convert to fraction form
   46,938/72,777.75 = 72,777.75/x
3. Step 3: Cross multiply
   46,938x = 72,777.75 × 72,777.75
4. Step 4: Simplify right side
   46,938x = 5,296,600,895.06
5. Step 5: Solve for x
   x = 5,296,600,895.06/46,938
6. Step 6: Final answer
   x = 112,842.49