Finding the Third Proportional to 14,782.63 and 21,623.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782.63 : 21,623.75 = 21,623.75 : x
2. Step 2: Convert to fraction form
   14,782.63/21,623.75 = 21,623.75/x
3. Step 3: Cross multiply
   14,782.63x = 21,623.75 × 21,623.75
4. Step 4: Simplify right side
   14,782.63x = 467,586,564.06
5. Step 5: Solve for x
   x = 467,586,564.06/14,782.63
6. Step 6: Final answer
   x = 31,630.82