Finding the Third Proportional to 37,681.69 and 82,953.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,681.69 : 82,953.56 = 82,953.56 : x
2. Step 2: Convert to fraction form
   37,681.69/82,953.56 = 82,953.56/x
3. Step 3: Cross multiply
   37,681.69x = 82,953.56 × 82,953.56
4. Step 4: Simplify right side
   37,681.69x = 6,881,293,531.44
5. Step 5: Solve for x
   x = 6,881,293,531.44/37,681.69
6. Step 6: Final answer
   x = 182,616.38