Finding the Third Proportional to 32,030 and 69,802

Step by Step Solution

1. Step 1: Write the proportion equation
   32,030 : 69,802 = 69,802 : x
2. Step 2: Convert to fraction form
   32,030/69,802 = 69,802/x
3. Step 3: Cross multiply
   32,030x = 69,802 × 69,802
4. Step 4: Simplify right side
   32,030x = 4,872,319,204
5. Step 5: Solve for x
   x = 4,872,319,204/32,030
6. Step 6: Final answer
   x = 152,117.37