Finding the Third Proportional to 31,119 and 49,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,119 : 49,477.50 = 49,477.50 : x
2. Step 2: Convert to fraction form
   31,119/49,477.50 = 49,477.50/x
3. Step 3: Cross multiply
   31,119x = 49,477.50 × 49,477.50
4. Step 4: Simplify right side
   31,119x = 2,448,023,006.25
5. Step 5: Solve for x
   x = 2,448,023,006.25/31,119
6. Step 6: Final answer
   x = 78,666.51