Finding the Third Proportional to 37,350 and 78,162

Step by Step Solution

1. Step 1: Write the proportion equation
   37,350 : 78,162 = 78,162 : x
2. Step 2: Convert to fraction form
   37,350/78,162 = 78,162/x
3. Step 3: Cross multiply
   37,350x = 78,162 × 78,162
4. Step 4: Simplify right side
   37,350x = 6,109,298,244
5. Step 5: Solve for x
   x = 6,109,298,244/37,350
6. Step 6: Final answer
   x = 163,568.90