Finding the Third Proportional to 33,655.50 and 71,168.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,655.50 : 71,168.63 = 71,168.63 : x
2. Step 2: Convert to fraction form
   33,655.50/71,168.63 = 71,168.63/x
3. Step 3: Cross multiply
   33,655.50x = 71,168.63 × 71,168.63
4. Step 4: Simplify right side
   33,655.50x = 5,064,973,184.39
5. Step 5: Solve for x
   x = 5,064,973,184.39/33,655.50
6. Step 6: Final answer
   x = 150,494.66