Finding the Third Proportional to 33,705 and 71,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,705 : 71,777.25 = 71,777.25 : x
2. Step 2: Convert to fraction form
   33,705/71,777.25 = 71,777.25/x
3. Step 3: Cross multiply
   33,705x = 71,777.25 × 71,777.25
4. Step 4: Simplify right side
   33,705x = 5,151,973,617.56
5. Step 5: Solve for x
   x = 5,151,973,617.56/33,705
6. Step 6: Final answer
   x = 152,854.88