Finding the Third Proportional to 13,594 and 20,139

Step by Step Solution

1. Step 1: Write the proportion equation
   13,594 : 20,139 = 20,139 : x
2. Step 2: Convert to fraction form
   13,594/20,139 = 20,139/x
3. Step 3: Cross multiply
   13,594x = 20,139 × 20,139
4. Step 4: Simplify right side
   13,594x = 405,579,321
5. Step 5: Solve for x
   x = 405,579,321/13,594
6. Step 6: Final answer
   x = 29,835.17