Finding the Third Proportional to 33,681.75 and 53,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,681.75 : 53,194.50 = 53,194.50 : x
2. Step 2: Convert to fraction form
   33,681.75/53,194.50 = 53,194.50/x
3. Step 3: Cross multiply
   33,681.75x = 53,194.50 × 53,194.50
4. Step 4: Simplify right side
   33,681.75x = 2,829,654,830.25
5. Step 5: Solve for x
   x = 2,829,654,830.25/33,681.75
6. Step 6: Final answer
   x = 84,011.51