Finding the Third Proportional to 37,000 and 77,072

Step by Step Solution

1. Step 1: Write the proportion equation
   37,000 : 77,072 = 77,072 : x
2. Step 2: Convert to fraction form
   37,000/77,072 = 77,072/x
3. Step 3: Cross multiply
   37,000x = 77,072 × 77,072
4. Step 4: Simplify right side
   37,000x = 5,940,093,184
5. Step 5: Solve for x
   x = 5,940,093,184/37,000
6. Step 6: Final answer
   x = 160,543.06