Finding the Third Proportional to 14,298 and 33,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,298 : 33,796.50 = 33,796.50 : x
2. Step 2: Convert to fraction form
   14,298/33,796.50 = 33,796.50/x
3. Step 3: Cross multiply
   14,298x = 33,796.50 × 33,796.50
4. Step 4: Simplify right side
   14,298x = 1,142,203,412.25
5. Step 5: Solve for x
   x = 1,142,203,412.25/14,298
6. Step 6: Final answer
   x = 79,885.54