Finding the Third Proportional to 33,038 and 64,414

Step by Step Solution

1. Step 1: Write the proportion equation
   33,038 : 64,414 = 64,414 : x
2. Step 2: Convert to fraction form
   33,038/64,414 = 64,414/x
3. Step 3: Cross multiply
   33,038x = 64,414 × 64,414
4. Step 4: Simplify right side
   33,038x = 4,149,163,396
5. Step 5: Solve for x
   x = 4,149,163,396/33,038
6. Step 6: Final answer
   x = 125,587.61