Finding the Third Proportional to 2,069 and 4,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069 : 4,592.50 = 4,592.50 : x
2. Step 2: Convert to fraction form
   2,069/4,592.50 = 4,592.50/x
3. Step 3: Cross multiply
   2,069x = 4,592.50 × 4,592.50
4. Step 4: Simplify right side
   2,069x = 21,091,056.25
5. Step 5: Solve for x
   x = 21,091,056.25/2,069
6. Step 6: Final answer
   x = 10,193.84