Finding the Third Proportional to 23,152.50 and 32,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,152.50 : 32,782.50 = 32,782.50 : x
2. Step 2: Convert to fraction form
   23,152.50/32,782.50 = 32,782.50/x
3. Step 3: Cross multiply
   23,152.50x = 32,782.50 × 32,782.50
4. Step 4: Simplify right side
   23,152.50x = 1,074,692,306.25
5. Step 5: Solve for x
   x = 1,074,692,306.25/23,152.50
6. Step 6: Final answer
   x = 46,417.98