Finding the Third Proportional to 37,754 and 81,418.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,754 : 81,418.75 = 81,418.75 : x
2. Step 2: Convert to fraction form
   37,754/81,418.75 = 81,418.75/x
3. Step 3: Cross multiply
   37,754x = 81,418.75 × 81,418.75
4. Step 4: Simplify right side
   37,754x = 6,629,012,851.56
5. Step 5: Solve for x
   x = 6,629,012,851.56/37,754
6. Step 6: Final answer
   x = 175,584.38