Finding the Third Proportional to 10,199 and 21,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199 : 21,623.50 = 21,623.50 : x
2. Step 2: Convert to fraction form
   10,199/21,623.50 = 21,623.50/x
3. Step 3: Cross multiply
   10,199x = 21,623.50 × 21,623.50
4. Step 4: Simplify right side
   10,199x = 467,575,752.25
5. Step 5: Solve for x
   x = 467,575,752.25/10,199
6. Step 6: Final answer
   x = 45,845.25