Finding the Third Proportional to 33,129 and 64,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,129 : 64,577.25 = 64,577.25 : x
2. Step 2: Convert to fraction form
   33,129/64,577.25 = 64,577.25/x
3. Step 3: Cross multiply
   33,129x = 64,577.25 × 64,577.25
4. Step 4: Simplify right side
   33,129x = 4,170,221,217.56
5. Step 5: Solve for x
   x = 4,170,221,217.56/33,129
6. Step 6: Final answer
   x = 125,878.27