Finding the Third Proportional to 10,053.50 and 16,430.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.50 : 16,430.50 = 16,430.50 : x
2. Step 2: Convert to fraction form
   10,053.50/16,430.50 = 16,430.50/x
3. Step 3: Cross multiply
   10,053.50x = 16,430.50 × 16,430.50
4. Step 4: Simplify right side
   10,053.50x = 269,961,330.25
5. Step 5: Solve for x
   x = 269,961,330.25/10,053.50
6. Step 6: Final answer
   x = 26,852.47