Finding the Third Proportional to 14,677.50 and 19,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,677.50 : 19,927.50 = 19,927.50 : x
2. Step 2: Convert to fraction form
   14,677.50/19,927.50 = 19,927.50/x
3. Step 3: Cross multiply
   14,677.50x = 19,927.50 × 19,927.50
4. Step 4: Simplify right side
   14,677.50x = 397,105,256.25
5. Step 5: Solve for x
   x = 397,105,256.25/14,677.50
6. Step 6: Final answer
   x = 27,055.37