Finding the Third Proportional to 19,341 and 37,878.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,341 : 37,878.75 = 37,878.75 : x
2. Step 2: Convert to fraction form
   19,341/37,878.75 = 37,878.75/x
3. Step 3: Cross multiply
   19,341x = 37,878.75 × 37,878.75
4. Step 4: Simplify right side
   19,341x = 1,434,799,701.56
5. Step 5: Solve for x
   x = 1,434,799,701.56/19,341
6. Step 6: Final answer
   x = 74,184.36