Finding the Third Proportional to 29,805 and 64,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,805 : 64,735.50 = 64,735.50 : x
2. Step 2: Convert to fraction form
   29,805/64,735.50 = 64,735.50/x
3. Step 3: Cross multiply
   29,805x = 64,735.50 × 64,735.50
4. Step 4: Simplify right side
   29,805x = 4,190,684,960.25
5. Step 5: Solve for x
   x = 4,190,684,960.25/29,805
6. Step 6: Final answer
   x = 140,603.42