Finding the Third Proportional to 37,772 and 83,000

Step by Step Solution

1. Step 1: Write the proportion equation
   37,772 : 83,000 = 83,000 : x
2. Step 2: Convert to fraction form
   37,772/83,000 = 83,000/x
3. Step 3: Cross multiply
   37,772x = 83,000 × 83,000
4. Step 4: Simplify right side
   37,772x = 6,889,000,000
5. Step 5: Solve for x
   x = 6,889,000,000/37,772
6. Step 6: Final answer
   x = 182,383.78