Finding the Third Proportional to 32,307 and 49,891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,307 : 49,891.50 = 49,891.50 : x
2. Step 2: Convert to fraction form
   32,307/49,891.50 = 49,891.50/x
3. Step 3: Cross multiply
   32,307x = 49,891.50 × 49,891.50
4. Step 4: Simplify right side
   32,307x = 2,489,161,772.25
5. Step 5: Solve for x
   x = 2,489,161,772.25/32,307
6. Step 6: Final answer
   x = 77,047.13