Finding the Third Proportional to 5,870 and 8,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,870 : 8,805.50 = 8,805.50 : x
2. Step 2: Convert to fraction form
   5,870/8,805.50 = 8,805.50/x
3. Step 3: Cross multiply
   5,870x = 8,805.50 × 8,805.50
4. Step 4: Simplify right side
   5,870x = 77,536,830.25
5. Step 5: Solve for x
   x = 77,536,830.25/5,870
6. Step 6: Final answer
   x = 13,209.00