Finding the Third Proportional to 37,165.88 and 77,409.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,165.88 : 77,409.38 = 77,409.38 : x
2. Step 2: Convert to fraction form
   37,165.88/77,409.38 = 77,409.38/x
3. Step 3: Cross multiply
   37,165.88x = 77,409.38 × 77,409.38
4. Step 4: Simplify right side
   37,165.88x = 5,992,211,337.89
5. Step 5: Solve for x
   x = 5,992,211,337.89/37,165.88
6. Step 6: Final answer
   x = 161,228.85