Finding the Third Proportional to 32,142 and 69,813

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142 : 69,813 = 69,813 : x
2. Step 2: Convert to fraction form
   32,142/69,813 = 69,813/x
3. Step 3: Cross multiply
   32,142x = 69,813 × 69,813
4. Step 4: Simplify right side
   32,142x = 4,873,854,969
5. Step 5: Solve for x
   x = 4,873,854,969/32,142
6. Step 6: Final answer
   x = 151,635.09