Finding the Third Proportional to 33,649 and 72,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,649 : 72,870.50 = 72,870.50 : x
2. Step 2: Convert to fraction form
   33,649/72,870.50 = 72,870.50/x
3. Step 3: Cross multiply
   33,649x = 72,870.50 × 72,870.50
4. Step 4: Simplify right side
   33,649x = 5,310,109,770.25
5. Step 5: Solve for x
   x = 5,310,109,770.25/33,649
6. Step 6: Final answer
   x = 157,808.84