Finding the Third Proportional to 32,940 and 75,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,940 : 75,424.50 = 75,424.50 : x
2. Step 2: Convert to fraction form
   32,940/75,424.50 = 75,424.50/x
3. Step 3: Cross multiply
   32,940x = 75,424.50 × 75,424.50
4. Step 4: Simplify right side
   32,940x = 5,688,855,200.25
5. Step 5: Solve for x
   x = 5,688,855,200.25/32,940
6. Step 6: Final answer
   x = 172,703.56