Finding the Third Proportional to 10,000 and 21,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000 : 21,603.50 = 21,603.50 : x
2. Step 2: Convert to fraction form
   10,000/21,603.50 = 21,603.50/x
3. Step 3: Cross multiply
   10,000x = 21,603.50 × 21,603.50
4. Step 4: Simplify right side
   10,000x = 466,711,212.25
5. Step 5: Solve for x
   x = 466,711,212.25/10,000
6. Step 6: Final answer
   x = 46,671.12