Finding the Third Proportional to 18,677.25 and 26,591.63

Step by Step Solution

1. Step 1: Write the proportion equation
   18,677.25 : 26,591.63 = 26,591.63 : x
2. Step 2: Convert to fraction form
   18,677.25/26,591.63 = 26,591.63/x
3. Step 3: Cross multiply
   18,677.25x = 26,591.63 × 26,591.63
4. Step 4: Simplify right side
   18,677.25x = 707,114,520.14
5. Step 5: Solve for x
   x = 707,114,520.14/18,677.25
6. Step 6: Final answer
   x = 37,859.67