Finding the Third Proportional to 10,009 and 14,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009 : 14,977.50 = 14,977.50 : x
2. Step 2: Convert to fraction form
   10,009/14,977.50 = 14,977.50/x
3. Step 3: Cross multiply
   10,009x = 14,977.50 × 14,977.50
4. Step 4: Simplify right side
   10,009x = 224,325,506.25
5. Step 5: Solve for x
   x = 224,325,506.25/10,009
6. Step 6: Final answer
   x = 22,412.38