Finding the Third Proportional to 7,111 and 10,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,111 : 10,009.50 = 10,009.50 : x
2. Step 2: Convert to fraction form
   7,111/10,009.50 = 10,009.50/x
3. Step 3: Cross multiply
   7,111x = 10,009.50 × 10,009.50
4. Step 4: Simplify right side
   7,111x = 100,190,090.25
5. Step 5: Solve for x
   x = 100,190,090.25/7,111
6. Step 6: Final answer
   x = 14,089.45