Finding the Third Proportional to 32,980.50 and 72,681.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,980.50 : 72,681.75 = 72,681.75 : x
2. Step 2: Convert to fraction form
   32,980.50/72,681.75 = 72,681.75/x
3. Step 3: Cross multiply
   32,980.50x = 72,681.75 × 72,681.75
4. Step 4: Simplify right side
   32,980.50x = 5,282,636,783.06
5. Step 5: Solve for x
   x = 5,282,636,783.06/32,980.50
6. Step 6: Final answer
   x = 160,174.55