Finding the Third Proportional to 35,813 and 78,045

Step by Step Solution

1. Step 1: Write the proportion equation
   35,813 : 78,045 = 78,045 : x
2. Step 2: Convert to fraction form
   35,813/78,045 = 78,045/x
3. Step 3: Cross multiply
   35,813x = 78,045 × 78,045
4. Step 4: Simplify right side
   35,813x = 6,091,022,025
5. Step 5: Solve for x
   x = 6,091,022,025/35,813
6. Step 6: Final answer
   x = 170,078.52