Finding the Third Proportional to 13,815 and 31,999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,815 : 31,999.50 = 31,999.50 : x
2. Step 2: Convert to fraction form
   13,815/31,999.50 = 31,999.50/x
3. Step 3: Cross multiply
   13,815x = 31,999.50 × 31,999.50
4. Step 4: Simplify right side
   13,815x = 1,023,968,000.25
5. Step 5: Solve for x
   x = 1,023,968,000.25/13,815
6. Step 6: Final answer
   x = 74,120.01