Finding the Third Proportional to 10,091.14 and 20,686.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.14 : 20,686.32 = 20,686.32 : x
2. Step 2: Convert to fraction form
   10,091.14/20,686.32 = 20,686.32/x
3. Step 3: Cross multiply
   10,091.14x = 20,686.32 × 20,686.32
4. Step 4: Simplify right side
   10,091.14x = 427,924,009.68
5. Step 5: Solve for x
   x = 427,924,009.68/10,091.14
6. Step 6: Final answer
   x = 42,405.89