Finding the Third Proportional to 32,089.50 and 74,979

Step by Step Solution

1. Step 1: Write the proportion equation
   32,089.50 : 74,979 = 74,979 : x
2. Step 2: Convert to fraction form
   32,089.50/74,979 = 74,979/x
3. Step 3: Cross multiply
   32,089.50x = 74,979 × 74,979
4. Step 4: Simplify right side
   32,089.50x = 5,621,850,441
5. Step 5: Solve for x
   x = 5,621,850,441/32,089.50
6. Step 6: Final answer
   x = 175,192.83