Finding the Third Proportional to 37,075.50 and 76,779

Step by Step Solution

1. Step 1: Write the proportion equation
   37,075.50 : 76,779 = 76,779 : x
2. Step 2: Convert to fraction form
   37,075.50/76,779 = 76,779/x
3. Step 3: Cross multiply
   37,075.50x = 76,779 × 76,779
4. Step 4: Simplify right side
   37,075.50x = 5,895,014,841
5. Step 5: Solve for x
   x = 5,895,014,841/37,075.50
6. Step 6: Final answer
   x = 159,000.28