Finding the Third Proportional to 14,777 and 32,146

Step by Step Solution

1. Step 1: Write the proportion equation
   14,777 : 32,146 = 32,146 : x
2. Step 2: Convert to fraction form
   14,777/32,146 = 32,146/x
3. Step 3: Cross multiply
   14,777x = 32,146 × 32,146
4. Step 4: Simplify right side
   14,777x = 1,033,365,316
5. Step 5: Solve for x
   x = 1,033,365,316/14,777
6. Step 6: Final answer
   x = 69,930.66