Finding the Third Proportional to 33,726 and 52,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,726 : 52,357.50 = 52,357.50 : x
2. Step 2: Convert to fraction form
   33,726/52,357.50 = 52,357.50/x
3. Step 3: Cross multiply
   33,726x = 52,357.50 × 52,357.50
4. Step 4: Simplify right side
   33,726x = 2,741,307,806.25
5. Step 5: Solve for x
   x = 2,741,307,806.25/33,726
6. Step 6: Final answer
   x = 81,281.74