Finding the Third Proportional to 14,409 and 33,347.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,409 : 33,347.25 = 33,347.25 : x
2. Step 2: Convert to fraction form
   14,409/33,347.25 = 33,347.25/x
3. Step 3: Cross multiply
   14,409x = 33,347.25 × 33,347.25
4. Step 4: Simplify right side
   14,409x = 1,112,039,082.56
5. Step 5: Solve for x
   x = 1,112,039,082.56/14,409
6. Step 6: Final answer
   x = 77,176.70