Finding the Third Proportional to 51,010 and 71,705.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,010 : 71,705.75 = 71,705.75 : x
2. Step 2: Convert to fraction form
   51,010/71,705.75 = 71,705.75/x
3. Step 3: Cross multiply
   51,010x = 71,705.75 × 71,705.75
4. Step 4: Simplify right side
   51,010x = 5,141,714,583.06
5. Step 5: Solve for x
   x = 5,141,714,583.06/51,010
6. Step 6: Final answer
   x = 100,798.17