Finding the Third Proportional to 33,762.75 and 74,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762.75 : 74,005.50 = 74,005.50 : x
2. Step 2: Convert to fraction form
   33,762.75/74,005.50 = 74,005.50/x
3. Step 3: Cross multiply
   33,762.75x = 74,005.50 × 74,005.50
4. Step 4: Simplify right side
   33,762.75x = 5,476,814,030.25
5. Step 5: Solve for x
   x = 5,476,814,030.25/33,762.75
6. Step 6: Final answer
   x = 162,214.69