Finding the Third Proportional to 33,250 and 52,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,250 : 52,643.50 = 52,643.50 : x
2. Step 2: Convert to fraction form
   33,250/52,643.50 = 52,643.50/x
3. Step 3: Cross multiply
   33,250x = 52,643.50 × 52,643.50
4. Step 4: Simplify right side
   33,250x = 2,771,338,092.25
5. Step 5: Solve for x
   x = 2,771,338,092.25/33,250
6. Step 6: Final answer
   x = 83,348.51