Finding the Third Proportional to 11,495.63 and 17,577.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,495.63 : 17,577.75 = 17,577.75 : x
2. Step 2: Convert to fraction form
   11,495.63/17,577.75 = 17,577.75/x
3. Step 3: Cross multiply
   11,495.63x = 17,577.75 × 17,577.75
4. Step 4: Simplify right side
   11,495.63x = 308,977,295.06
5. Step 5: Solve for x
   x = 308,977,295.06/11,495.63
6. Step 6: Final answer
   x = 26,877.82