Finding the Third Proportional to 32,535 and 69,147

Step by Step Solution

1. Step 1: Write the proportion equation
   32,535 : 69,147 = 69,147 : x
2. Step 2: Convert to fraction form
   32,535/69,147 = 69,147/x
3. Step 3: Cross multiply
   32,535x = 69,147 × 69,147
4. Step 4: Simplify right side
   32,535x = 4,781,307,609
5. Step 5: Solve for x
   x = 4,781,307,609/32,535
6. Step 6: Final answer
   x = 146,958.89