Finding the Third Proportional to 35,812 and 78,042

Step by Step Solution

1. Step 1: Write the proportion equation
   35,812 : 78,042 = 78,042 : x
2. Step 2: Convert to fraction form
   35,812/78,042 = 78,042/x
3. Step 3: Cross multiply
   35,812x = 78,042 × 78,042
4. Step 4: Simplify right side
   35,812x = 6,090,553,764
5. Step 5: Solve for x
   x = 6,090,553,764/35,812
6. Step 6: Final answer
   x = 170,070.19