Finding the Third Proportional to 14,409 and 21,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,409 : 21,094.50 = 21,094.50 : x
2. Step 2: Convert to fraction form
   14,409/21,094.50 = 21,094.50/x
3. Step 3: Cross multiply
   14,409x = 21,094.50 × 21,094.50
4. Step 4: Simplify right side
   14,409x = 444,977,930.25
5. Step 5: Solve for x
   x = 444,977,930.25/14,409
6. Step 6: Final answer
   x = 30,881.94