Finding the Third Proportional to 31,590 and 49,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,590 : 49,285.50 = 49,285.50 : x
2. Step 2: Convert to fraction form
   31,590/49,285.50 = 49,285.50/x
3. Step 3: Cross multiply
   31,590x = 49,285.50 × 49,285.50
4. Step 4: Simplify right side
   31,590x = 2,429,060,510.25
5. Step 5: Solve for x
   x = 2,429,060,510.25/31,590
6. Step 6: Final answer
   x = 76,893.34