Finding the Third Proportional to 20,964 and 32,178

Step by Step Solution

1. Step 1: Write the proportion equation
   20,964 : 32,178 = 32,178 : x
2. Step 2: Convert to fraction form
   20,964/32,178 = 32,178/x
3. Step 3: Cross multiply
   20,964x = 32,178 × 32,178
4. Step 4: Simplify right side
   20,964x = 1,035,423,684
5. Step 5: Solve for x
   x = 1,035,423,684/20,964
6. Step 6: Final answer
   x = 49,390.56