Finding the Third Proportional to 32,818 and 49,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,818 : 49,527.50 = 49,527.50 : x
2. Step 2: Convert to fraction form
   32,818/49,527.50 = 49,527.50/x
3. Step 3: Cross multiply
   32,818x = 49,527.50 × 49,527.50
4. Step 4: Simplify right side
   32,818x = 2,452,973,256.25
5. Step 5: Solve for x
   x = 2,452,973,256.25/32,818
6. Step 6: Final answer
   x = 74,744.75