Finding the Third Proportional to 33,685.88 and 73,978.31

Step by Step Solution

1. Step 1: Write the proportion equation
   33,685.88 : 73,978.31 = 73,978.31 : x
2. Step 2: Convert to fraction form
   33,685.88/73,978.31 = 73,978.31/x
3. Step 3: Cross multiply
   33,685.88x = 73,978.31 × 73,978.31
4. Step 4: Simplify right side
   33,685.88x = 5,472,790,720.35
5. Step 5: Solve for x
   x = 5,472,790,720.35/33,685.88
6. Step 6: Final answer
   x = 162,465.45