Finding the Third Proportional to 32,464 and 69,112

Step by Step Solution

1. Step 1: Write the proportion equation
   32,464 : 69,112 = 69,112 : x
2. Step 2: Convert to fraction form
   32,464/69,112 = 69,112/x
3. Step 3: Cross multiply
   32,464x = 69,112 × 69,112
4. Step 4: Simplify right side
   32,464x = 4,776,468,544
5. Step 5: Solve for x
   x = 4,776,468,544/32,464
6. Step 6: Final answer
   x = 147,131.24