Finding the Third Proportional to 31,510.50 and 48,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,510.50 : 48,784.50 = 48,784.50 : x
2. Step 2: Convert to fraction form
   31,510.50/48,784.50 = 48,784.50/x
3. Step 3: Cross multiply
   31,510.50x = 48,784.50 × 48,784.50
4. Step 4: Simplify right side
   31,510.50x = 2,379,927,440.25
5. Step 5: Solve for x
   x = 2,379,927,440.25/31,510.50
6. Step 6: Final answer
   x = 75,528.08