Finding the Third Proportional to 37,822 and 83,372

Step by Step Solution

1. Step 1: Write the proportion equation
   37,822 : 83,372 = 83,372 : x
2. Step 2: Convert to fraction form
   37,822/83,372 = 83,372/x
3. Step 3: Cross multiply
   37,822x = 83,372 × 83,372
4. Step 4: Simplify right side
   37,822x = 6,950,890,384
5. Step 5: Solve for x
   x = 6,950,890,384/37,822
6. Step 6: Final answer
   x = 183,779.03