Finding the Third Proportional to 13,873.50 and 21,345.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873.50 : 21,345.75 = 21,345.75 : x
2. Step 2: Convert to fraction form
   13,873.50/21,345.75 = 21,345.75/x
3. Step 3: Cross multiply
   13,873.50x = 21,345.75 × 21,345.75
4. Step 4: Simplify right side
   13,873.50x = 455,641,043.06
5. Step 5: Solve for x
   x = 455,641,043.06/13,873.50
6. Step 6: Final answer
   x = 32,842.54