Finding the Third Proportional to 11,410 and 17,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,410 : 17,038.50 = 17,038.50 : x
2. Step 2: Convert to fraction form
   11,410/17,038.50 = 17,038.50/x
3. Step 3: Cross multiply
   11,410x = 17,038.50 × 17,038.50
4. Step 4: Simplify right side
   11,410x = 290,310,482.25
5. Step 5: Solve for x
   x = 290,310,482.25/11,410
6. Step 6: Final answer
   x = 25,443.51