Finding the Third Proportional to 37,002 and 77,076

Step by Step Solution

1. Step 1: Write the proportion equation
   37,002 : 77,076 = 77,076 : x
2. Step 2: Convert to fraction form
   37,002/77,076 = 77,076/x
3. Step 3: Cross multiply
   37,002x = 77,076 × 77,076
4. Step 4: Simplify right side
   37,002x = 5,940,709,776
5. Step 5: Solve for x
   x = 5,940,709,776/37,002
6. Step 6: Final answer
   x = 160,551.05