Finding the Third Proportional to 37,316 and 81,196

Step by Step Solution

1. Step 1: Write the proportion equation
   37,316 : 81,196 = 81,196 : x
2. Step 2: Convert to fraction form
   37,316/81,196 = 81,196/x
3. Step 3: Cross multiply
   37,316x = 81,196 × 81,196
4. Step 4: Simplify right side
   37,316x = 6,592,790,416
5. Step 5: Solve for x
   x = 6,592,790,416/37,316
6. Step 6: Final answer
   x = 176,674.63