Finding the Third Proportional to 14,678.75 and 19,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,678.75 : 19,663.50 = 19,663.50 : x
2. Step 2: Convert to fraction form
   14,678.75/19,663.50 = 19,663.50/x
3. Step 3: Cross multiply
   14,678.75x = 19,663.50 × 19,663.50
4. Step 4: Simplify right side
   14,678.75x = 386,653,232.25
5. Step 5: Solve for x
   x = 386,653,232.25/14,678.75
6. Step 6: Final answer
   x = 26,341.02