Finding the Third Proportional to 32,784 and 71,991.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,784 : 71,991.75 = 71,991.75 : x
2. Step 2: Convert to fraction form
   32,784/71,991.75 = 71,991.75/x
3. Step 3: Cross multiply
   32,784x = 71,991.75 × 71,991.75
4. Step 4: Simplify right side
   32,784x = 5,182,812,068.06
5. Step 5: Solve for x
   x = 5,182,812,068.06/32,784
6. Step 6: Final answer
   x = 158,089.68