Finding the Third Proportional to 5,695.73 and 7,667.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,695.73 : 7,667.58 = 7,667.58 : x
2. Step 2: Convert to fraction form
   5,695.73/7,667.58 = 7,667.58/x
3. Step 3: Cross multiply
   5,695.73x = 7,667.58 × 7,667.58
4. Step 4: Simplify right side
   5,695.73x = 58,791,754.30
5. Step 5: Solve for x
   x = 58,791,754.30/5,695.73
6. Step 6: Final answer
   x = 10,322.07