Finding the Third Proportional to 32,846 and 69,613

Step by Step Solution

1. Step 1: Write the proportion equation
   32,846 : 69,613 = 69,613 : x
2. Step 2: Convert to fraction form
   32,846/69,613 = 69,613/x
3. Step 3: Cross multiply
   32,846x = 69,613 × 69,613
4. Step 4: Simplify right side
   32,846x = 4,845,969,769
5. Step 5: Solve for x
   x = 4,845,969,769/32,846
6. Step 6: Final answer
   x = 147,536.07