Finding the Third Proportional to 10,099 and 14,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099 : 14,856.50 = 14,856.50 : x
2. Step 2: Convert to fraction form
   10,099/14,856.50 = 14,856.50/x
3. Step 3: Cross multiply
   10,099x = 14,856.50 × 14,856.50
4. Step 4: Simplify right side
   10,099x = 220,715,592.25
5. Step 5: Solve for x
   x = 220,715,592.25/10,099
6. Step 6: Final answer
   x = 21,855.19