Finding the Third Proportional to 34,564 and 55,128

Step by Step Solution

1. Step 1: Write the proportion equation
   34,564 : 55,128 = 55,128 : x
2. Step 2: Convert to fraction form
   34,564/55,128 = 55,128/x
3. Step 3: Cross multiply
   34,564x = 55,128 × 55,128
4. Step 4: Simplify right side
   34,564x = 3,039,096,384
5. Step 5: Solve for x
   x = 3,039,096,384/34,564
6. Step 6: Final answer
   x = 87,926.64