Finding the Third Proportional to 27,776 and 58,816

Step by Step Solution

1. Step 1: Write the proportion equation
   27,776 : 58,816 = 58,816 : x
2. Step 2: Convert to fraction form
   27,776/58,816 = 58,816/x
3. Step 3: Cross multiply
   27,776x = 58,816 × 58,816
4. Step 4: Simplify right side
   27,776x = 3,459,321,856
5. Step 5: Solve for x
   x = 3,459,321,856/27,776
6. Step 6: Final answer
   x = 124,543.56