Finding the Third Proportional to 49,280 and 76,106

Step by Step Solution

1. Step 1: Write the proportion equation
   49,280 : 76,106 = 76,106 : x
2. Step 2: Convert to fraction form
   49,280/76,106 = 76,106/x
3. Step 3: Cross multiply
   49,280x = 76,106 × 76,106
4. Step 4: Simplify right side
   49,280x = 5,792,123,236
5. Step 5: Solve for x
   x = 5,792,123,236/49,280
6. Step 6: Final answer
   x = 117,534.97