Finding the Third Proportional to 14,778.75 and 23,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,778.75 : 23,398.50 = 23,398.50 : x
2. Step 2: Convert to fraction form
   14,778.75/23,398.50 = 23,398.50/x
3. Step 3: Cross multiply
   14,778.75x = 23,398.50 × 23,398.50
4. Step 4: Simplify right side
   14,778.75x = 547,489,802.25
5. Step 5: Solve for x
   x = 547,489,802.25/14,778.75
6. Step 6: Final answer
   x = 37,045.74