Finding the Third Proportional to 37,154 and 55,795

Step by Step Solution

1. Step 1: Write the proportion equation
   37,154 : 55,795 = 55,795 : x
2. Step 2: Convert to fraction form
   37,154/55,795 = 55,795/x
3. Step 3: Cross multiply
   37,154x = 55,795 × 55,795
4. Step 4: Simplify right side
   37,154x = 3,113,082,025
5. Step 5: Solve for x
   x = 3,113,082,025/37,154
6. Step 6: Final answer
   x = 83,788.61