Finding the Third Proportional to 23,097 and 34,596

Step by Step Solution

1. Step 1: Write the proportion equation
   23,097 : 34,596 = 34,596 : x
2. Step 2: Convert to fraction form
   23,097/34,596 = 34,596/x
3. Step 3: Cross multiply
   23,097x = 34,596 × 34,596
4. Step 4: Simplify right side
   23,097x = 1,196,883,216
5. Step 5: Solve for x
   x = 1,196,883,216/23,097
6. Step 6: Final answer
   x = 51,819.86