Finding the Third Proportional to 11,200 and 19,772

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200 : 19,772 = 19,772 : x
2. Step 2: Convert to fraction form
   11,200/19,772 = 19,772/x
3. Step 3: Cross multiply
   11,200x = 19,772 × 19,772
4. Step 4: Simplify right side
   11,200x = 390,931,984
5. Step 5: Solve for x
   x = 390,931,984/11,200
6. Step 6: Final answer
   x = 34,904.64