Finding the Third Proportional to 23,523 and 34,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,523 : 34,420.50 = 34,420.50 : x
2. Step 2: Convert to fraction form
   23,523/34,420.50 = 34,420.50/x
3. Step 3: Cross multiply
   23,523x = 34,420.50 × 34,420.50
4. Step 4: Simplify right side
   23,523x = 1,184,770,820.25
5. Step 5: Solve for x
   x = 1,184,770,820.25/23,523
6. Step 6: Final answer
   x = 50,366.48