Finding the Third Proportional to 34,498 and 64,075

Step by Step Solution

1. Step 1: Write the proportion equation
   34,498 : 64,075 = 64,075 : x
2. Step 2: Convert to fraction form
   34,498/64,075 = 64,075/x
3. Step 3: Cross multiply
   34,498x = 64,075 × 64,075
4. Step 4: Simplify right side
   34,498x = 4,105,605,625
5. Step 5: Solve for x
   x = 4,105,605,625/34,498
6. Step 6: Final answer
   x = 119,009.96