Finding the Third Proportional to 38,256 and 55,095

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 55,095 = 55,095 : x
2. Step 2: Convert to fraction form
   38,256/55,095 = 55,095/x
3. Step 3: Cross multiply
   38,256x = 55,095 × 55,095
4. Step 4: Simplify right side
   38,256x = 3,035,459,025
5. Step 5: Solve for x
   x = 3,035,459,025/38,256
6. Step 6: Final answer
   x = 79,345.96