Finding the Third Proportional to 41,764.50 and 87,629.63

Step by Step Solution

1. Step 1: Write the proportion equation
   41,764.50 : 87,629.63 = 87,629.63 : x
2. Step 2: Convert to fraction form
   41,764.50/87,629.63 = 87,629.63/x
3. Step 3: Cross multiply
   41,764.50x = 87,629.63 × 87,629.63
4. Step 4: Simplify right side
   41,764.50x = 7,678,951,177.64
5. Step 5: Solve for x
   x = 7,678,951,177.64/41,764.50
6. Step 6: Final answer
   x = 183,863.12