Finding the Third Proportional to 37,780 and 57,856

Step by Step Solution

1. Step 1: Write the proportion equation
   37,780 : 57,856 = 57,856 : x
2. Step 2: Convert to fraction form
   37,780/57,856 = 57,856/x
3. Step 3: Cross multiply
   37,780x = 57,856 × 57,856
4. Step 4: Simplify right side
   37,780x = 3,347,316,736
5. Step 5: Solve for x
   x = 3,347,316,736/37,780
6. Step 6: Final answer
   x = 88,600.23