Finding the Third Proportional to 33,539 and 53,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,539 : 53,063.50 = 53,063.50 : x
2. Step 2: Convert to fraction form
   33,539/53,063.50 = 53,063.50/x
3. Step 3: Cross multiply
   33,539x = 53,063.50 × 53,063.50
4. Step 4: Simplify right side
   33,539x = 2,815,735,032.25
5. Step 5: Solve for x
   x = 2,815,735,032.25/33,539
6. Step 6: Final answer
   x = 83,954.05