Finding the Third Proportional to 40,776 and 64,870

Step by Step Solution

1. Step 1: Write the proportion equation
   40,776 : 64,870 = 64,870 : x
2. Step 2: Convert to fraction form
   40,776/64,870 = 64,870/x
3. Step 3: Cross multiply
   40,776x = 64,870 × 64,870
4. Step 4: Simplify right side
   40,776x = 4,208,116,900
5. Step 5: Solve for x
   x = 4,208,116,900/40,776
6. Step 6: Final answer
   x = 103,200.83