Finding the Third Proportional to 29,733.75 and 31,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,733.75 : 31,819.50 = 31,819.50 : x
2. Step 2: Convert to fraction form
   29,733.75/31,819.50 = 31,819.50/x
3. Step 3: Cross multiply
   29,733.75x = 31,819.50 × 31,819.50
4. Step 4: Simplify right side
   29,733.75x = 1,012,480,580.25
5. Step 5: Solve for x
   x = 1,012,480,580.25/29,733.75
6. Step 6: Final answer
   x = 34,051.56