Finding the Third Proportional to 14,782.50 and 23,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782.50 : 23,404.50 = 23,404.50 : x
2. Step 2: Convert to fraction form
   14,782.50/23,404.50 = 23,404.50/x
3. Step 3: Cross multiply
   14,782.50x = 23,404.50 × 23,404.50
4. Step 4: Simplify right side
   14,782.50x = 547,770,620.25
5. Step 5: Solve for x
   x = 547,770,620.25/14,782.50
6. Step 6: Final answer
   x = 37,055.34