Finding the Third Proportional to 33,642 and 71,384.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 71,384.63 = 71,384.63 : x
2. Step 2: Convert to fraction form
   33,642/71,384.63 = 71,384.63/x
3. Step 3: Cross multiply
   33,642x = 71,384.63 × 71,384.63
4. Step 4: Simplify right side
   33,642x = 5,095,764,686.39
5. Step 5: Solve for x
   x = 5,095,764,686.39/33,642
6. Step 6: Final answer
   x = 151,470.33