Finding the Third Proportional to 34,980 and 55,478.63

Step by Step Solution

1. Step 1: Write the proportion equation
   34,980 : 55,478.63 = 55,478.63 : x
2. Step 2: Convert to fraction form
   34,980/55,478.63 = 55,478.63/x
3. Step 3: Cross multiply
   34,980x = 55,478.63 × 55,478.63
4. Step 4: Simplify right side
   34,980x = 3,077,877,831.89
5. Step 5: Solve for x
   x = 3,077,877,831.89/34,980
6. Step 6: Final answer
   x = 87,989.65