Finding the Third Proportional to 37,164 and 81,100

Step by Step Solution

1. Step 1: Write the proportion equation
   37,164 : 81,100 = 81,100 : x
2. Step 2: Convert to fraction form
   37,164/81,100 = 81,100/x
3. Step 3: Cross multiply
   37,164x = 81,100 × 81,100
4. Step 4: Simplify right side
   37,164x = 6,577,210,000
5. Step 5: Solve for x
   x = 6,577,210,000/37,164
6. Step 6: Final answer
   x = 176,977.99