Finding the Third Proportional to 32,421 and 59,514

Step by Step Solution

1. Step 1: Write the proportion equation
   32,421 : 59,514 = 59,514 : x
2. Step 2: Convert to fraction form
   32,421/59,514 = 59,514/x
3. Step 3: Cross multiply
   32,421x = 59,514 × 59,514
4. Step 4: Simplify right side
   32,421x = 3,541,916,196
5. Step 5: Solve for x
   x = 3,541,916,196/32,421
6. Step 6: Final answer
   x = 109,247.59