Finding the Third Proportional to 7,882 and 12,335

Step by Step Solution

1. Step 1: Write the proportion equation
   7,882 : 12,335 = 12,335 : x
2. Step 2: Convert to fraction form
   7,882/12,335 = 12,335/x
3. Step 3: Cross multiply
   7,882x = 12,335 × 12,335
4. Step 4: Simplify right side
   7,882x = 152,152,225
5. Step 5: Solve for x
   x = 152,152,225/7,882
6. Step 6: Final answer
   x = 19,303.76