Finding the Third Proportional to 13,254 and 18,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,254 : 18,577.50 = 18,577.50 : x
2. Step 2: Convert to fraction form
   13,254/18,577.50 = 18,577.50/x
3. Step 3: Cross multiply
   13,254x = 18,577.50 × 18,577.50
4. Step 4: Simplify right side
   13,254x = 345,123,506.25
5. Step 5: Solve for x
   x = 345,123,506.25/13,254
6. Step 6: Final answer
   x = 26,039.20