Finding the Third Proportional to 14,809.50 and 23,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,809.50 : 23,566.50 = 23,566.50 : x
2. Step 2: Convert to fraction form
   14,809.50/23,566.50 = 23,566.50/x
3. Step 3: Cross multiply
   14,809.50x = 23,566.50 × 23,566.50
4. Step 4: Simplify right side
   14,809.50x = 555,379,922.25
5. Step 5: Solve for x
   x = 555,379,922.25/14,809.50
6. Step 6: Final answer
   x = 37,501.60