Finding the Third Proportional to 55,180 and 74,522

Step by Step Solution

1. Step 1: Write the proportion equation
   55,180 : 74,522 = 74,522 : x
2. Step 2: Convert to fraction form
   55,180/74,522 = 74,522/x
3. Step 3: Cross multiply
   55,180x = 74,522 × 74,522
4. Step 4: Simplify right side
   55,180x = 5,553,528,484
5. Step 5: Solve for x
   x = 5,553,528,484/55,180
6. Step 6: Final answer
   x = 100,643.87