Finding the Third Proportional to 37,041 and 78,495

Step by Step Solution

1. Step 1: Write the proportion equation
   37,041 : 78,495 = 78,495 : x
2. Step 2: Convert to fraction form
   37,041/78,495 = 78,495/x
3. Step 3: Cross multiply
   37,041x = 78,495 × 78,495
4. Step 4: Simplify right side
   37,041x = 6,161,465,025
5. Step 5: Solve for x
   x = 6,161,465,025/37,041
6. Step 6: Final answer
   x = 166,341.76