Finding the Third Proportional to 29,767.50 and 64,850.63

Step by Step Solution

1. Step 1: Write the proportion equation
   29,767.50 : 64,850.63 = 64,850.63 : x
2. Step 2: Convert to fraction form
   29,767.50/64,850.63 = 64,850.63/x
3. Step 3: Cross multiply
   29,767.50x = 64,850.63 × 64,850.63
4. Step 4: Simplify right side
   29,767.50x = 4,205,603,562.89
5. Step 5: Solve for x
   x = 4,205,603,562.89/29,767.50
6. Step 6: Final answer
   x = 141,281.72