Finding the Third Proportional to 35,779.50 and 76,905

Step by Step Solution

1. Step 1: Write the proportion equation
   35,779.50 : 76,905 = 76,905 : x
2. Step 2: Convert to fraction form
   35,779.50/76,905 = 76,905/x
3. Step 3: Cross multiply
   35,779.50x = 76,905 × 76,905
4. Step 4: Simplify right side
   35,779.50x = 5,914,379,025
5. Step 5: Solve for x
   x = 5,914,379,025/35,779.50
6. Step 6: Final answer
   x = 165,300.77