Finding the Third Proportional to 14,769.75 and 31,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,769.75 : 31,858.50 = 31,858.50 : x
2. Step 2: Convert to fraction form
   14,769.75/31,858.50 = 31,858.50/x
3. Step 3: Cross multiply
   14,769.75x = 31,858.50 × 31,858.50
4. Step 4: Simplify right side
   14,769.75x = 1,014,964,022.25
5. Step 5: Solve for x
   x = 1,014,964,022.25/14,769.75
6. Step 6: Final answer
   x = 68,719.11