Finding the Third Proportional to 31,090 and 49,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,090 : 49,444.50 = 49,444.50 : x
2. Step 2: Convert to fraction form
   31,090/49,444.50 = 49,444.50/x
3. Step 3: Cross multiply
   31,090x = 49,444.50 × 49,444.50
4. Step 4: Simplify right side
   31,090x = 2,444,758,580.25
5. Step 5: Solve for x
   x = 2,444,758,580.25/31,090
6. Step 6: Final answer
   x = 78,634.89