Finding the Third Proportional to 37,296 and 77,108

Step by Step Solution

1. Step 1: Write the proportion equation
   37,296 : 77,108 = 77,108 : x
2. Step 2: Convert to fraction form
   37,296/77,108 = 77,108/x
3. Step 3: Cross multiply
   37,296x = 77,108 × 77,108
4. Step 4: Simplify right side
   37,296x = 5,945,643,664
5. Step 5: Solve for x
   x = 5,945,643,664/37,296
6. Step 6: Final answer
   x = 159,417.73