Finding the Third Proportional to 37,086 and 77,244

Step by Step Solution

1. Step 1: Write the proportion equation
   37,086 : 77,244 = 77,244 : x
2. Step 2: Convert to fraction form
   37,086/77,244 = 77,244/x
3. Step 3: Cross multiply
   37,086x = 77,244 × 77,244
4. Step 4: Simplify right side
   37,086x = 5,966,635,536
5. Step 5: Solve for x
   x = 5,966,635,536/37,086
6. Step 6: Final answer
   x = 160,886.47