Finding the Third Proportional to 31,507 and 48,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,507 : 48,790.50 = 48,790.50 : x
2. Step 2: Convert to fraction form
   31,507/48,790.50 = 48,790.50/x
3. Step 3: Cross multiply
   31,507x = 48,790.50 × 48,790.50
4. Step 4: Simplify right side
   31,507x = 2,380,512,890.25
5. Step 5: Solve for x
   x = 2,380,512,890.25/31,507
6. Step 6: Final answer
   x = 75,555.05