Finding the Third Proportional to 59,538 and 90,075

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538 : 90,075 = 90,075 : x
2. Step 2: Convert to fraction form
   59,538/90,075 = 90,075/x
3. Step 3: Cross multiply
   59,538x = 90,075 × 90,075
4. Step 4: Simplify right side
   59,538x = 8,113,505,625
5. Step 5: Solve for x
   x = 8,113,505,625/59,538
6. Step 6: Final answer
   x = 136,274.41