Finding the Third Proportional to 33,762.75 and 72,759

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762.75 : 72,759 = 72,759 : x
2. Step 2: Convert to fraction form
   33,762.75/72,759 = 72,759/x
3. Step 3: Cross multiply
   33,762.75x = 72,759 × 72,759
4. Step 4: Simplify right side
   33,762.75x = 5,293,872,081
5. Step 5: Solve for x
   x = 5,293,872,081/33,762.75
6. Step 6: Final answer
   x = 156,796.23