Finding the Third Proportional to 13,818 and 31,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,818 : 31,705.50 = 31,705.50 : x
2. Step 2: Convert to fraction form
   13,818/31,705.50 = 31,705.50/x
3. Step 3: Cross multiply
   13,818x = 31,705.50 × 31,705.50
4. Step 4: Simplify right side
   13,818x = 1,005,238,730.25
5. Step 5: Solve for x
   x = 1,005,238,730.25/13,818
6. Step 6: Final answer
   x = 72,748.50