Finding the Third Proportional to 11,552.63 and 17,733.94

Step by Step Solution

1. Step 1: Write the proportion equation
   11,552.63 : 17,733.94 = 17,733.94 : x
2. Step 2: Convert to fraction form
   11,552.63/17,733.94 = 17,733.94/x
3. Step 3: Cross multiply
   11,552.63x = 17,733.94 × 17,733.94
4. Step 4: Simplify right side
   11,552.63x = 314,492,539.25
5. Step 5: Solve for x
   x = 314,492,539.25/11,552.63
6. Step 6: Final answer
   x = 27,222.60