Finding the Third Proportional to 33,635.75 and 76,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,635.75 : 76,009.50 = 76,009.50 : x
2. Step 2: Convert to fraction form
   33,635.75/76,009.50 = 76,009.50/x
3. Step 3: Cross multiply
   33,635.75x = 76,009.50 × 76,009.50
4. Step 4: Simplify right side
   33,635.75x = 5,777,444,090.25
5. Step 5: Solve for x
   x = 5,777,444,090.25/33,635.75
6. Step 6: Final answer
   x = 171,764.98