Finding the Third Proportional to 34,657 and 55,096

Step by Step Solution

1. Step 1: Write the proportion equation
   34,657 : 55,096 = 55,096 : x
2. Step 2: Convert to fraction form
   34,657/55,096 = 55,096/x
3. Step 3: Cross multiply
   34,657x = 55,096 × 55,096
4. Step 4: Simplify right side
   34,657x = 3,035,569,216
5. Step 5: Solve for x
   x = 3,035,569,216/34,657
6. Step 6: Final answer
   x = 87,588.92