Finding the Third Proportional to 13,985.25 and 29,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,985.25 : 29,965.50 = 29,965.50 : x
2. Step 2: Convert to fraction form
   13,985.25/29,965.50 = 29,965.50/x
3. Step 3: Cross multiply
   13,985.25x = 29,965.50 × 29,965.50
4. Step 4: Simplify right side
   13,985.25x = 897,931,190.25
5. Step 5: Solve for x
   x = 897,931,190.25/13,985.25
6. Step 6: Final answer
   x = 64,205.59