Finding the Third Proportional to 13,705.50 and 29,759.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,705.50 : 29,759.25 = 29,759.25 : x
2. Step 2: Convert to fraction form
   13,705.50/29,759.25 = 29,759.25/x
3. Step 3: Cross multiply
   13,705.50x = 29,759.25 × 29,759.25
4. Step 4: Simplify right side
   13,705.50x = 885,612,960.56
5. Step 5: Solve for x
   x = 885,612,960.56/13,705.50
6. Step 6: Final answer
   x = 64,617.34