Finding the Third Proportional to 5,876.61 and 12,573.35

Step by Step Solution

1. Step 1: Write the proportion equation
   5,876.61 : 12,573.35 = 12,573.35 : x
2. Step 2: Convert to fraction form
   5,876.61/12,573.35 = 12,573.35/x
3. Step 3: Cross multiply
   5,876.61x = 12,573.35 × 12,573.35
4. Step 4: Simplify right side
   5,876.61x = 158,089,169.51
5. Step 5: Solve for x
   x = 158,089,169.51/5,876.61
6. Step 6: Final answer
   x = 26,901.41