Finding the Third Proportional to 37,419.47 and 81,298.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,419.47 : 81,298.69 = 81,298.69 : x
2. Step 2: Convert to fraction form
   37,419.47/81,298.69 = 81,298.69/x
3. Step 3: Cross multiply
   37,419.47x = 81,298.69 × 81,298.69
4. Step 4: Simplify right side
   37,419.47x = 6,609,476,589.22
5. Step 5: Solve for x
   x = 6,609,476,589.22/37,419.47
6. Step 6: Final answer
   x = 176,632.03