Finding the Third Proportional to 6,139 and 13,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,139 : 13,402.50 = 13,402.50 : x
2. Step 2: Convert to fraction form
   6,139/13,402.50 = 13,402.50/x
3. Step 3: Cross multiply
   6,139x = 13,402.50 × 13,402.50
4. Step 4: Simplify right side
   6,139x = 179,627,006.25
5. Step 5: Solve for x
   x = 179,627,006.25/6,139
6. Step 6: Final answer
   x = 29,259.98