Finding the Third Proportional to 10,011 and 21,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,011 : 21,691.50 = 21,691.50 : x
2. Step 2: Convert to fraction form
   10,011/21,691.50 = 21,691.50/x
3. Step 3: Cross multiply
   10,011x = 21,691.50 × 21,691.50
4. Step 4: Simplify right side
   10,011x = 470,521,172.25
5. Step 5: Solve for x
   x = 470,521,172.25/10,011
6. Step 6: Final answer
   x = 47,000.42