Finding the Third Proportional to 33,412.50 and 74,206.13

Step by Step Solution

1. Step 1: Write the proportion equation
   33,412.50 : 74,206.13 = 74,206.13 : x
2. Step 2: Convert to fraction form
   33,412.50/74,206.13 = 74,206.13/x
3. Step 3: Cross multiply
   33,412.50x = 74,206.13 × 74,206.13
4. Step 4: Simplify right side
   33,412.50x = 5,506,548,987.52
5. Step 5: Solve for x
   x = 5,506,548,987.52/33,412.50
6. Step 6: Final answer
   x = 164,805.06