Finding the Third Proportional to 14,826 and 23,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,826 : 23,605.50 = 23,605.50 : x
2. Step 2: Convert to fraction form
   14,826/23,605.50 = 23,605.50/x
3. Step 3: Cross multiply
   14,826x = 23,605.50 × 23,605.50
4. Step 4: Simplify right side
   14,826x = 557,219,630.25
5. Step 5: Solve for x
   x = 557,219,630.25/14,826
6. Step 6: Final answer
   x = 37,583.95