Finding the Third Proportional to 31,696.50 and 49,152

Step by Step Solution

1. Step 1: Write the proportion equation
   31,696.50 : 49,152 = 49,152 : x
2. Step 2: Convert to fraction form
   31,696.50/49,152 = 49,152/x
3. Step 3: Cross multiply
   31,696.50x = 49,152 × 49,152
4. Step 4: Simplify right side
   31,696.50x = 2,415,919,104
5. Step 5: Solve for x
   x = 2,415,919,104/31,696.50
6. Step 6: Final answer
   x = 76,220.37