Finding the Third Proportional to 10,099 and 13,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099 : 13,492.50 = 13,492.50 : x
2. Step 2: Convert to fraction form
   10,099/13,492.50 = 13,492.50/x
3. Step 3: Cross multiply
   10,099x = 13,492.50 × 13,492.50
4. Step 4: Simplify right side
   10,099x = 182,047,556.25
5. Step 5: Solve for x
   x = 182,047,556.25/10,099
6. Step 6: Final answer
   x = 18,026.30