Finding the Third Proportional to 32,184 and 69,264

Step by Step Solution

1. Step 1: Write the proportion equation
   32,184 : 69,264 = 69,264 : x
2. Step 2: Convert to fraction form
   32,184/69,264 = 69,264/x
3. Step 3: Cross multiply
   32,184x = 69,264 × 69,264
4. Step 4: Simplify right side
   32,184x = 4,797,501,696
5. Step 5: Solve for x
   x = 4,797,501,696/32,184
6. Step 6: Final answer
   x = 149,064.81