Finding the Third Proportional to 37,756.69 and 81,299.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,756.69 : 81,299.06 = 81,299.06 : x
2. Step 2: Convert to fraction form
   37,756.69/81,299.06 = 81,299.06/x
3. Step 3: Cross multiply
   37,756.69x = 81,299.06 × 81,299.06
4. Step 4: Simplify right side
   37,756.69x = 6,609,537,563.38
5. Step 5: Solve for x
   x = 6,609,537,563.38/37,756.69
6. Step 6: Final answer
   x = 175,056.08