Finding the Third Proportional to 33,877.50 and 74,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,877.50 : 74,494.50 = 74,494.50 : x
2. Step 2: Convert to fraction form
   33,877.50/74,494.50 = 74,494.50/x
3. Step 3: Cross multiply
   33,877.50x = 74,494.50 × 74,494.50
4. Step 4: Simplify right side
   33,877.50x = 5,549,430,530.25
5. Step 5: Solve for x
   x = 5,549,430,530.25/33,877.50
6. Step 6: Final answer
   x = 163,808.74