Finding the Third Proportional to 7,884 and 17,323.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,884 : 17,323.88 = 17,323.88 : x
2. Step 2: Convert to fraction form
   7,884/17,323.88 = 17,323.88/x
3. Step 3: Cross multiply
   7,884x = 17,323.88 × 17,323.88
4. Step 4: Simplify right side
   7,884x = 300,116,645.02
5. Step 5: Solve for x
   x = 300,116,645.02/7,884
6. Step 6: Final answer
   x = 38,066.55