Finding the Third Proportional to 31,302 and 48,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,302 : 48,541.50 = 48,541.50 : x
2. Step 2: Convert to fraction form
   31,302/48,541.50 = 48,541.50/x
3. Step 3: Cross multiply
   31,302x = 48,541.50 × 48,541.50
4. Step 4: Simplify right side
   31,302x = 2,356,277,222.25
5. Step 5: Solve for x
   x = 2,356,277,222.25/31,302
6. Step 6: Final answer
   x = 75,275.61