Finding the Third Proportional to 46,456 and 70,776

Step by Step Solution

1. Step 1: Write the proportion equation
   46,456 : 70,776 = 70,776 : x
2. Step 2: Convert to fraction form
   46,456/70,776 = 70,776/x
3. Step 3: Cross multiply
   46,456x = 70,776 × 70,776
4. Step 4: Simplify right side
   46,456x = 5,009,242,176
5. Step 5: Solve for x
   x = 5,009,242,176/46,456
6. Step 6: Final answer
   x = 107,827.67