Finding the Third Proportional to 33,099 and 71,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,099 : 71,758.50 = 71,758.50 : x
2. Step 2: Convert to fraction form
   33,099/71,758.50 = 71,758.50/x
3. Step 3: Cross multiply
   33,099x = 71,758.50 × 71,758.50
4. Step 4: Simplify right side
   33,099x = 5,149,282,322.25
5. Step 5: Solve for x
   x = 5,149,282,322.25/33,099
6. Step 6: Final answer
   x = 155,572.14