Finding the Third Proportional to 37,242 and 76,460

Step by Step Solution

1. Step 1: Write the proportion equation
   37,242 : 76,460 = 76,460 : x
2. Step 2: Convert to fraction form
   37,242/76,460 = 76,460/x
3. Step 3: Cross multiply
   37,242x = 76,460 × 76,460
4. Step 4: Simplify right side
   37,242x = 5,846,131,600
5. Step 5: Solve for x
   x = 5,846,131,600/37,242
6. Step 6: Final answer
   x = 156,976.84