Finding the Third Proportional to 14,289 and 21,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,289 : 21,977.50 = 21,977.50 : x
2. Step 2: Convert to fraction form
   14,289/21,977.50 = 21,977.50/x
3. Step 3: Cross multiply
   14,289x = 21,977.50 × 21,977.50
4. Step 4: Simplify right side
   14,289x = 483,010,506.25
5. Step 5: Solve for x
   x = 483,010,506.25/14,289
6. Step 6: Final answer
   x = 33,802.96