Finding the Third Proportional to 33,786 and 52,999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,786 : 52,999.50 = 52,999.50 : x
2. Step 2: Convert to fraction form
   33,786/52,999.50 = 52,999.50/x
3. Step 3: Cross multiply
   33,786x = 52,999.50 × 52,999.50
4. Step 4: Simplify right side
   33,786x = 2,808,947,000.25
5. Step 5: Solve for x
   x = 2,808,947,000.25/33,786
6. Step 6: Final answer
   x = 83,139.38