Finding the Third Proportional to 13,194.84 and 20,461.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,194.84 : 20,461.69 = 20,461.69 : x
2. Step 2: Convert to fraction form
   13,194.84/20,461.69 = 20,461.69/x
3. Step 3: Cross multiply
   13,194.84x = 20,461.69 × 20,461.69
4. Step 4: Simplify right side
   13,194.84x = 418,680,655.35
5. Step 5: Solve for x
   x = 418,680,655.35/13,194.84
6. Step 6: Final answer
   x = 31,730.63