Finding the Third Proportional to 11,202 and 17,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,202 : 17,722.50 = 17,722.50 : x
2. Step 2: Convert to fraction form
   11,202/17,722.50 = 17,722.50/x
3. Step 3: Cross multiply
   11,202x = 17,722.50 × 17,722.50
4. Step 4: Simplify right side
   11,202x = 314,087,006.25
5. Step 5: Solve for x
   x = 314,087,006.25/11,202
6. Step 6: Final answer
   x = 28,038.48