Finding the Third Proportional to 13,947.75 and 32,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,947.75 : 32,719.50 = 32,719.50 : x
2. Step 2: Convert to fraction form
   13,947.75/32,719.50 = 32,719.50/x
3. Step 3: Cross multiply
   13,947.75x = 32,719.50 × 32,719.50
4. Step 4: Simplify right side
   13,947.75x = 1,070,565,680.25
5. Step 5: Solve for x
   x = 1,070,565,680.25/13,947.75
6. Step 6: Final answer
   x = 76,755.44