Finding the Third Proportional to 17,784.50 and 38,104.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.50 : 38,104.75 = 38,104.75 : x
2. Step 2: Convert to fraction form
   17,784.50/38,104.75 = 38,104.75/x
3. Step 3: Cross multiply
   17,784.50x = 38,104.75 × 38,104.75
4. Step 4: Simplify right side
   17,784.50x = 1,451,971,972.56
5. Step 5: Solve for x
   x = 1,451,971,972.56/17,784.50
6. Step 6: Final answer
   x = 81,642.55