Finding the Third Proportional to 32,982.56 and 77,782.31

Step by Step Solution

1. Step 1: Write the proportion equation
   32,982.56 : 77,782.31 = 77,782.31 : x
2. Step 2: Convert to fraction form
   32,982.56/77,782.31 = 77,782.31/x
3. Step 3: Cross multiply
   32,982.56x = 77,782.31 × 77,782.31
4. Step 4: Simplify right side
   32,982.56x = 6,050,088,137.85
5. Step 5: Solve for x
   x = 6,050,088,137.85/32,982.56
6. Step 6: Final answer
   x = 183,432.93