Finding the Third Proportional to 23,529 and 34,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,529 : 34,573.50 = 34,573.50 : x
2. Step 2: Convert to fraction form
   23,529/34,573.50 = 34,573.50/x
3. Step 3: Cross multiply
   23,529x = 34,573.50 × 34,573.50
4. Step 4: Simplify right side
   23,529x = 1,195,326,902.25
5. Step 5: Solve for x
   x = 1,195,326,902.25/23,529
6. Step 6: Final answer
   x = 50,802.28