Finding the Third Proportional to 53,422 and 83,049

Step by Step Solution

1. Step 1: Write the proportion equation
   53,422 : 83,049 = 83,049 : x
2. Step 2: Convert to fraction form
   53,422/83,049 = 83,049/x
3. Step 3: Cross multiply
   53,422x = 83,049 × 83,049
4. Step 4: Simplify right side
   53,422x = 6,897,136,401
5. Step 5: Solve for x
   x = 6,897,136,401/53,422
6. Step 6: Final answer
   x = 129,106.67