Finding the Third Proportional to 35,578 and 55,095

Step by Step Solution

1. Step 1: Write the proportion equation
   35,578 : 55,095 = 55,095 : x
2. Step 2: Convert to fraction form
   35,578/55,095 = 55,095/x
3. Step 3: Cross multiply
   35,578x = 55,095 × 55,095
4. Step 4: Simplify right side
   35,578x = 3,035,459,025
5. Step 5: Solve for x
   x = 3,035,459,025/35,578
6. Step 6: Final answer
   x = 85,318.43