Finding the Third Proportional to 13,816.50 and 21,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,816.50 : 21,978.75 = 21,978.75 : x
2. Step 2: Convert to fraction form
   13,816.50/21,978.75 = 21,978.75/x
3. Step 3: Cross multiply
   13,816.50x = 21,978.75 × 21,978.75
4. Step 4: Simplify right side
   13,816.50x = 483,065,451.56
5. Step 5: Solve for x
   x = 483,065,451.56/13,816.50
6. Step 6: Final answer
   x = 34,962.94