Finding the Third Proportional to 37,628 and 81,196

Step by Step Solution

1. Step 1: Write the proportion equation
   37,628 : 81,196 = 81,196 : x
2. Step 2: Convert to fraction form
   37,628/81,196 = 81,196/x
3. Step 3: Cross multiply
   37,628x = 81,196 × 81,196
4. Step 4: Simplify right side
   37,628x = 6,592,790,416
5. Step 5: Solve for x
   x = 6,592,790,416/37,628
6. Step 6: Final answer
   x = 175,209.70