Finding the Third Proportional to 32,670 and 69,606

Step by Step Solution

1. Step 1: Write the proportion equation
   32,670 : 69,606 = 69,606 : x
2. Step 2: Convert to fraction form
   32,670/69,606 = 69,606/x
3. Step 3: Cross multiply
   32,670x = 69,606 × 69,606
4. Step 4: Simplify right side
   32,670x = 4,844,995,236
5. Step 5: Solve for x
   x = 4,844,995,236/32,670
6. Step 6: Final answer
   x = 148,301.05