Finding the Third Proportional to 25,594 and 55,075

Step by Step Solution

1. Step 1: Write the proportion equation
   25,594 : 55,075 = 55,075 : x
2. Step 2: Convert to fraction form
   25,594/55,075 = 55,075/x
3. Step 3: Cross multiply
   25,594x = 55,075 × 55,075
4. Step 4: Simplify right side
   25,594x = 3,033,255,625
5. Step 5: Solve for x
   x = 3,033,255,625/25,594
6. Step 6: Final answer
   x = 118,514.32