Finding the Third Proportional to 15,099 and 35,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,099 : 35,596.50 = 35,596.50 : x
2. Step 2: Convert to fraction form
   15,099/35,596.50 = 35,596.50/x
3. Step 3: Cross multiply
   15,099x = 35,596.50 × 35,596.50
4. Step 4: Simplify right side
   15,099x = 1,267,110,812.25
5. Step 5: Solve for x
   x = 1,267,110,812.25/15,099
6. Step 6: Final answer
   x = 83,920.18