Finding the Third Proportional to 32,124 and 49,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,124 : 49,438.50 = 49,438.50 : x
2. Step 2: Convert to fraction form
   32,124/49,438.50 = 49,438.50/x
3. Step 3: Cross multiply
   32,124x = 49,438.50 × 49,438.50
4. Step 4: Simplify right side
   32,124x = 2,444,165,282.25
5. Step 5: Solve for x
   x = 2,444,165,282.25/32,124
6. Step 6: Final answer
   x = 76,085.33