Finding the Third Proportional to 29,907 and 64,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,907 : 64,768.50 = 64,768.50 : x
2. Step 2: Convert to fraction form
   29,907/64,768.50 = 64,768.50/x
3. Step 3: Cross multiply
   29,907x = 64,768.50 × 64,768.50
4. Step 4: Simplify right side
   29,907x = 4,194,958,592.25
5. Step 5: Solve for x
   x = 4,194,958,592.25/29,907
6. Step 6: Final answer
   x = 140,266.78