Finding the Third Proportional to 32,194.97 and 49,253.06

Step by Step Solution

1. Step 1: Write the proportion equation
   32,194.97 : 49,253.06 = 49,253.06 : x
2. Step 2: Convert to fraction form
   32,194.97/49,253.06 = 49,253.06/x
3. Step 3: Cross multiply
   32,194.97x = 49,253.06 × 49,253.06
4. Step 4: Simplify right side
   32,194.97x = 2,425,864,165.63
5. Step 5: Solve for x
   x = 2,425,864,165.63/32,194.97
6. Step 6: Final answer
   x = 75,349.17