Finding the Third Proportional to 37,132 and 77,323

Step by Step Solution

1. Step 1: Write the proportion equation
   37,132 : 77,323 = 77,323 : x
2. Step 2: Convert to fraction form
   37,132/77,323 = 77,323/x
3. Step 3: Cross multiply
   37,132x = 77,323 × 77,323
4. Step 4: Simplify right side
   37,132x = 5,978,846,329
5. Step 5: Solve for x
   x = 5,978,846,329/37,132
6. Step 6: Final answer
   x = 161,016.01