Finding the Third Proportional to 57,645 and 89,019

Step by Step Solution

1. Step 1: Write the proportion equation
   57,645 : 89,019 = 89,019 : x
2. Step 2: Convert to fraction form
   57,645/89,019 = 89,019/x
3. Step 3: Cross multiply
   57,645x = 89,019 × 89,019
4. Step 4: Simplify right side
   57,645x = 7,924,382,361
5. Step 5: Solve for x
   x = 7,924,382,361/57,645
6. Step 6: Final answer
   x = 137,468.69