Finding the Third Proportional to 37,434 and 83,172

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434 : 83,172 = 83,172 : x
2. Step 2: Convert to fraction form
   37,434/83,172 = 83,172/x
3. Step 3: Cross multiply
   37,434x = 83,172 × 83,172
4. Step 4: Simplify right side
   37,434x = 6,917,581,584
5. Step 5: Solve for x
   x = 6,917,581,584/37,434
6. Step 6: Final answer
   x = 184,794.08