Finding the Third Proportional to 13,902.75 and 20,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,902.75 : 20,830.50 = 20,830.50 : x
2. Step 2: Convert to fraction form
   13,902.75/20,830.50 = 20,830.50/x
3. Step 3: Cross multiply
   13,902.75x = 20,830.50 × 20,830.50
4. Step 4: Simplify right side
   13,902.75x = 433,909,730.25
5. Step 5: Solve for x
   x = 433,909,730.25/13,902.75
6. Step 6: Final answer
   x = 31,210.35