Finding the Third Proportional to 6,114 and 12,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,114 : 12,592.50 = 12,592.50 : x
2. Step 2: Convert to fraction form
   6,114/12,592.50 = 12,592.50/x
3. Step 3: Cross multiply
   6,114x = 12,592.50 × 12,592.50
4. Step 4: Simplify right side
   6,114x = 158,571,056.25
5. Step 5: Solve for x
   x = 158,571,056.25/6,114
6. Step 6: Final answer
   x = 25,935.73