Finding the Third Proportional to 13,000.13 and 18,577.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,000.13 : 18,577.31 = 18,577.31 : x
2. Step 2: Convert to fraction form
   13,000.13/18,577.31 = 18,577.31/x
3. Step 3: Cross multiply
   13,000.13x = 18,577.31 × 18,577.31
4. Step 4: Simplify right side
   13,000.13x = 345,116,539.72
5. Step 5: Solve for x
   x = 345,116,539.72/13,000.13
6. Step 6: Final answer
   x = 26,547.17