Finding the Third Proportional to 10,004 and 21,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 21,521.50 = 21,521.50 : x
2. Step 2: Convert to fraction form
   10,004/21,521.50 = 21,521.50/x
3. Step 3: Cross multiply
   10,004x = 21,521.50 × 21,521.50
4. Step 4: Simplify right side
   10,004x = 463,174,962.25
5. Step 5: Solve for x
   x = 463,174,962.25/10,004
6. Step 6: Final answer
   x = 46,298.98