Finding the Third Proportional to 10,702.50 and 12,069.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,702.50 : 12,069.75 = 12,069.75 : x
2. Step 2: Convert to fraction form
   10,702.50/12,069.75 = 12,069.75/x
3. Step 3: Cross multiply
   10,702.50x = 12,069.75 × 12,069.75
4. Step 4: Simplify right side
   10,702.50x = 145,678,865.06
5. Step 5: Solve for x
   x = 145,678,865.06/10,702.50
6. Step 6: Final answer
   x = 13,611.67