Finding the Third Proportional to 32,812 and 77,032

Step by Step Solution

1. Step 1: Write the proportion equation
   32,812 : 77,032 = 77,032 : x
2. Step 2: Convert to fraction form
   32,812/77,032 = 77,032/x
3. Step 3: Cross multiply
   32,812x = 77,032 × 77,032
4. Step 4: Simplify right side
   32,812x = 5,933,929,024
5. Step 5: Solve for x
   x = 5,933,929,024/32,812
6. Step 6: Final answer
   x = 180,846.31