Finding the Third Proportional to 37,005.75 and 81,038.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,005.75 : 81,038.25 = 81,038.25 : x
2. Step 2: Convert to fraction form
   37,005.75/81,038.25 = 81,038.25/x
3. Step 3: Cross multiply
   37,005.75x = 81,038.25 × 81,038.25
4. Step 4: Simplify right side
   37,005.75x = 6,567,197,963.06
5. Step 5: Solve for x
   x = 6,567,197,963.06/37,005.75
6. Step 6: Final answer
   x = 177,464.26