Finding the Third Proportional to 31,549 and 67,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,549 : 67,475.25 = 67,475.25 : x
2. Step 2: Convert to fraction form
   31,549/67,475.25 = 67,475.25/x
3. Step 3: Cross multiply
   31,549x = 67,475.25 × 67,475.25
4. Step 4: Simplify right side
   31,549x = 4,552,909,362.56
5. Step 5: Solve for x
   x = 4,552,909,362.56/31,549
6. Step 6: Final answer
   x = 144,312.32