Finding the Third Proportional to 37,801.69 and 81,435.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,801.69 : 81,435.38 = 81,435.38 : x
2. Step 2: Convert to fraction form
   37,801.69/81,435.38 = 81,435.38/x
3. Step 3: Cross multiply
   37,801.69x = 81,435.38 × 81,435.38
4. Step 4: Simplify right side
   37,801.69x = 6,631,720,301.39
5. Step 5: Solve for x
   x = 6,631,720,301.39/37,801.69
6. Step 6: Final answer
   x = 175,434.50