Finding the Third Proportional to 6,159.75 and 13,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,159.75 : 13,585.50 = 13,585.50 : x
2. Step 2: Convert to fraction form
   6,159.75/13,585.50 = 13,585.50/x
3. Step 3: Cross multiply
   6,159.75x = 13,585.50 × 13,585.50
4. Step 4: Simplify right side
   6,159.75x = 184,565,810.25
5. Step 5: Solve for x
   x = 184,565,810.25/6,159.75
6. Step 6: Final answer
   x = 29,963.20