Finding the Third Proportional to 15,597 and 32,111

Step by Step Solution

1. Step 1: Write the proportion equation
   15,597 : 32,111 = 32,111 : x
2. Step 2: Convert to fraction form
   15,597/32,111 = 32,111/x
3. Step 3: Cross multiply
   15,597x = 32,111 × 32,111
4. Step 4: Simplify right side
   15,597x = 1,031,116,321
5. Step 5: Solve for x
   x = 1,031,116,321/15,597
6. Step 6: Final answer
   x = 66,109.91