Finding the Third Proportional to 23,097 and 34,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,097 : 34,594.50 = 34,594.50 : x
2. Step 2: Convert to fraction form
   23,097/34,594.50 = 34,594.50/x
3. Step 3: Cross multiply
   23,097x = 34,594.50 × 34,594.50
4. Step 4: Simplify right side
   23,097x = 1,196,779,430.25
5. Step 5: Solve for x
   x = 1,196,779,430.25/23,097
6. Step 6: Final answer
   x = 51,815.36