Finding the Third Proportional to 53,642 and 83,019

Step by Step Solution

1. Step 1: Write the proportion equation
   53,642 : 83,019 = 83,019 : x
2. Step 2: Convert to fraction form
   53,642/83,019 = 83,019/x
3. Step 3: Cross multiply
   53,642x = 83,019 × 83,019
4. Step 4: Simplify right side
   53,642x = 6,892,154,361
5. Step 5: Solve for x
   x = 6,892,154,361/53,642
6. Step 6: Final answer
   x = 128,484.29