Finding the Third Proportional to 37,062 and 77,196

Step by Step Solution

1. Step 1: Write the proportion equation
   37,062 : 77,196 = 77,196 : x
2. Step 2: Convert to fraction form
   37,062/77,196 = 77,196/x
3. Step 3: Cross multiply
   37,062x = 77,196 × 77,196
4. Step 4: Simplify right side
   37,062x = 5,959,222,416
5. Step 5: Solve for x
   x = 5,959,222,416/37,062
6. Step 6: Final answer
   x = 160,790.63