Finding the Third Proportional to 23,565 and 34,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,565 : 34,555.50 = 34,555.50 : x
2. Step 2: Convert to fraction form
   23,565/34,555.50 = 34,555.50/x
3. Step 3: Cross multiply
   23,565x = 34,555.50 × 34,555.50
4. Step 4: Simplify right side
   23,565x = 1,194,082,580.25
5. Step 5: Solve for x
   x = 1,194,082,580.25/23,565
6. Step 6: Final answer
   x = 50,671.87