Finding the Third Proportional to 35,099 and 82,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,099 : 82,856.50 = 82,856.50 : x
2. Step 2: Convert to fraction form
   35,099/82,856.50 = 82,856.50/x
3. Step 3: Cross multiply
   35,099x = 82,856.50 × 82,856.50
4. Step 4: Simplify right side
   35,099x = 6,865,199,592.25
5. Step 5: Solve for x
   x = 6,865,199,592.25/35,099
6. Step 6: Final answer
   x = 195,595.30