Finding the Third Proportional to 32,263 and 69,470

Step by Step Solution

1. Step 1: Write the proportion equation
   32,263 : 69,470 = 69,470 : x
2. Step 2: Convert to fraction form
   32,263/69,470 = 69,470/x
3. Step 3: Cross multiply
   32,263x = 69,470 × 69,470
4. Step 4: Simplify right side
   32,263x = 4,826,080,900
5. Step 5: Solve for x
   x = 4,826,080,900/32,263
6. Step 6: Final answer
   x = 149,585.62