Finding the Third Proportional to 34,674 and 52,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,674 : 52,256.25 = 52,256.25 : x
2. Step 2: Convert to fraction form
   34,674/52,256.25 = 52,256.25/x
3. Step 3: Cross multiply
   34,674x = 52,256.25 × 52,256.25
4. Step 4: Simplify right side
   34,674x = 2,730,715,664.06
5. Step 5: Solve for x
   x = 2,730,715,664.06/34,674
6. Step 6: Final answer
   x = 78,753.98