Finding the Third Proportional to 32,144 and 46,428

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 46,428 = 46,428 : x
2. Step 2: Convert to fraction form
   32,144/46,428 = 46,428/x
3. Step 3: Cross multiply
   32,144x = 46,428 × 46,428
4. Step 4: Simplify right side
   32,144x = 2,155,559,184
5. Step 5: Solve for x
   x = 2,155,559,184/32,144
6. Step 6: Final answer
   x = 67,059.46