Finding the Third Proportional to 37,412.63 and 81,371.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,412.63 : 81,371.25 = 81,371.25 : x
2. Step 2: Convert to fraction form
   37,412.63/81,371.25 = 81,371.25/x
3. Step 3: Cross multiply
   37,412.63x = 81,371.25 × 81,371.25
4. Step 4: Simplify right side
   37,412.63x = 6,621,280,326.56
5. Step 5: Solve for x
   x = 6,621,280,326.56/37,412.63
6. Step 6: Final answer
   x = 176,979.84