Finding the Third Proportional to 23,097 and 34,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,097 : 34,853.50 = 34,853.50 : x
2. Step 2: Convert to fraction form
   23,097/34,853.50 = 34,853.50/x
3. Step 3: Cross multiply
   23,097x = 34,853.50 × 34,853.50
4. Step 4: Simplify right side
   23,097x = 1,214,766,462.25
5. Step 5: Solve for x
   x = 1,214,766,462.25/23,097
6. Step 6: Final answer
   x = 52,594.12