Finding the Third Proportional to 15,882 and 32,788

Step by Step Solution

1. Step 1: Write the proportion equation
   15,882 : 32,788 = 32,788 : x
2. Step 2: Convert to fraction form
   15,882/32,788 = 32,788/x
3. Step 3: Cross multiply
   15,882x = 32,788 × 32,788
4. Step 4: Simplify right side
   15,882x = 1,075,052,944
5. Step 5: Solve for x
   x = 1,075,052,944/15,882
6. Step 6: Final answer
   x = 67,690.02