Finding the Third Proportional to 33,106 and 64,552

Step by Step Solution

1. Step 1: Write the proportion equation
   33,106 : 64,552 = 64,552 : x
2. Step 2: Convert to fraction form
   33,106/64,552 = 64,552/x
3. Step 3: Cross multiply
   33,106x = 64,552 × 64,552
4. Step 4: Simplify right side
   33,106x = 4,166,960,704
5. Step 5: Solve for x
   x = 4,166,960,704/33,106
6. Step 6: Final answer
   x = 125,867.24