Finding the Third Proportional to 30,832.50 and 66,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,832.50 : 66,340.50 = 66,340.50 : x
2. Step 2: Convert to fraction form
   30,832.50/66,340.50 = 66,340.50/x
3. Step 3: Cross multiply
   30,832.50x = 66,340.50 × 66,340.50
4. Step 4: Simplify right side
   30,832.50x = 4,401,061,940.25
5. Step 5: Solve for x
   x = 4,401,061,940.25/30,832.50
6. Step 6: Final answer
   x = 142,741.00