Finding the Third Proportional to 32,033 and 76,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,033 : 76,506.50 = 76,506.50 : x
2. Step 2: Convert to fraction form
   32,033/76,506.50 = 76,506.50/x
3. Step 3: Cross multiply
   32,033x = 76,506.50 × 76,506.50
4. Step 4: Simplify right side
   32,033x = 5,853,244,542.25
5. Step 5: Solve for x
   x = 5,853,244,542.25/32,033
6. Step 6: Final answer
   x = 182,725.46