Finding the Third Proportional to 37,023.75 and 81,074.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,023.75 : 81,074.25 = 81,074.25 : x
2. Step 2: Convert to fraction form
   37,023.75/81,074.25 = 81,074.25/x
3. Step 3: Cross multiply
   37,023.75x = 81,074.25 × 81,074.25
4. Step 4: Simplify right side
   37,023.75x = 6,573,034,013.06
5. Step 5: Solve for x
   x = 6,573,034,013.06/37,023.75
6. Step 6: Final answer
   x = 177,535.61