Finding the Third Proportional to 35,109.75 and 76,779.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,109.75 : 76,779.75 = 76,779.75 : x
2. Step 2: Convert to fraction form
   35,109.75/76,779.75 = 76,779.75/x
3. Step 3: Cross multiply
   35,109.75x = 76,779.75 × 76,779.75
4. Step 4: Simplify right side
   35,109.75x = 5,895,130,010.06
5. Step 5: Solve for x
   x = 5,895,130,010.06/35,109.75
6. Step 6: Final answer
   x = 167,905.78