Finding the Third Proportional to 13,638.38 and 29,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,638.38 : 29,706.75 = 29,706.75 : x
2. Step 2: Convert to fraction form
   13,638.38/29,706.75 = 29,706.75/x
3. Step 3: Cross multiply
   13,638.38x = 29,706.75 × 29,706.75
4. Step 4: Simplify right side
   13,638.38x = 882,490,995.56
5. Step 5: Solve for x
   x = 882,490,995.56/13,638.38
6. Step 6: Final answer
   x = 64,706.46