Finding the Third Proportional to 32,112 and 69,003

Step by Step Solution

1. Step 1: Write the proportion equation
   32,112 : 69,003 = 69,003 : x
2. Step 2: Convert to fraction form
   32,112/69,003 = 69,003/x
3. Step 3: Cross multiply
   32,112x = 69,003 × 69,003
4. Step 4: Simplify right side
   32,112x = 4,761,414,009
5. Step 5: Solve for x
   x = 4,761,414,009/32,112
6. Step 6: Final answer
   x = 148,275.22