Finding the Third Proportional to 6,623.50 and 14,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,623.50 : 14,460.50 = 14,460.50 : x
2. Step 2: Convert to fraction form
   6,623.50/14,460.50 = 14,460.50/x
3. Step 3: Cross multiply
   6,623.50x = 14,460.50 × 14,460.50
4. Step 4: Simplify right side
   6,623.50x = 209,106,060.25
5. Step 5: Solve for x
   x = 209,106,060.25/6,623.50
6. Step 6: Final answer
   x = 31,570.33