Finding the Third Proportional to 34,662 and 55,097

Step by Step Solution

1. Step 1: Write the proportion equation
   34,662 : 55,097 = 55,097 : x
2. Step 2: Convert to fraction form
   34,662/55,097 = 55,097/x
3. Step 3: Cross multiply
   34,662x = 55,097 × 55,097
4. Step 4: Simplify right side
   34,662x = 3,035,679,409
5. Step 5: Solve for x
   x = 3,035,679,409/34,662
6. Step 6: Final answer
   x = 87,579.46