Finding the Third Proportional to 32,106 and 69,287

Step by Step Solution

1. Step 1: Write the proportion equation
   32,106 : 69,287 = 69,287 : x
2. Step 2: Convert to fraction form
   32,106/69,287 = 69,287/x
3. Step 3: Cross multiply
   32,106x = 69,287 × 69,287
4. Step 4: Simplify right side
   32,106x = 4,800,688,369
5. Step 5: Solve for x
   x = 4,800,688,369/32,106
6. Step 6: Final answer
   x = 149,526.21