Finding the Third Proportional to 14,922 and 23,802.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,922 : 23,802.75 = 23,802.75 : x
2. Step 2: Convert to fraction form
   14,922/23,802.75 = 23,802.75/x
3. Step 3: Cross multiply
   14,922x = 23,802.75 × 23,802.75
4. Step 4: Simplify right side
   14,922x = 566,570,907.56
5. Step 5: Solve for x
   x = 566,570,907.56/14,922
6. Step 6: Final answer
   x = 37,968.83