Finding the Third Proportional to 34,633.20 and 75,667.92

Step by Step Solution

1. Step 1: Write the proportion equation
   34,633.20 : 75,667.92 = 75,667.92 : x
2. Step 2: Convert to fraction form
   34,633.20/75,667.92 = 75,667.92/x
3. Step 3: Cross multiply
   34,633.20x = 75,667.92 × 75,667.92
4. Step 4: Simplify right side
   34,633.20x = 5,725,634,400.88
5. Step 5: Solve for x
   x = 5,725,634,400.88/34,633.20
6. Step 6: Final answer
   x = 165,322.15