Finding the Third Proportional to 46,970.50 and 82,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,970.50 : 82,782.50 = 82,782.50 : x
2. Step 2: Convert to fraction form
   46,970.50/82,782.50 = 82,782.50/x
3. Step 3: Cross multiply
   46,970.50x = 82,782.50 × 82,782.50
4. Step 4: Simplify right side
   46,970.50x = 6,852,942,306.25
5. Step 5: Solve for x
   x = 6,852,942,306.25/46,970.50
6. Step 6: Final answer
   x = 145,898.86