Finding the Third Proportional to 48,099 and 65,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,099 : 65,524.50 = 65,524.50 : x
2. Step 2: Convert to fraction form
   48,099/65,524.50 = 65,524.50/x
3. Step 3: Cross multiply
   48,099x = 65,524.50 × 65,524.50
4. Step 4: Simplify right side
   48,099x = 4,293,460,100.25
5. Step 5: Solve for x
   x = 4,293,460,100.25/48,099
6. Step 6: Final answer
   x = 89,262.98