Finding the Third Proportional to 37,033.50 and 81,090.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,033.50 : 81,090.75 = 81,090.75 : x
2. Step 2: Convert to fraction form
   37,033.50/81,090.75 = 81,090.75/x
3. Step 3: Cross multiply
   37,033.50x = 81,090.75 × 81,090.75
4. Step 4: Simplify right side
   37,033.50x = 6,575,709,735.56
5. Step 5: Solve for x
   x = 6,575,709,735.56/37,033.50
6. Step 6: Final answer
   x = 177,561.12