Finding the Third Proportional to 34,278 and 51,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,278 : 51,781.50 = 51,781.50 : x
2. Step 2: Convert to fraction form
   34,278/51,781.50 = 51,781.50/x
3. Step 3: Cross multiply
   34,278x = 51,781.50 × 51,781.50
4. Step 4: Simplify right side
   34,278x = 2,681,323,742.25
5. Step 5: Solve for x
   x = 2,681,323,742.25/34,278
6. Step 6: Final answer
   x = 78,222.88