Finding the Third Proportional to 34,681.50 and 52,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,681.50 : 52,258.50 = 52,258.50 : x
2. Step 2: Convert to fraction form
   34,681.50/52,258.50 = 52,258.50/x
3. Step 3: Cross multiply
   34,681.50x = 52,258.50 × 52,258.50
4. Step 4: Simplify right side
   34,681.50x = 2,730,950,822.25
5. Step 5: Solve for x
   x = 2,730,950,822.25/34,681.50
6. Step 6: Final answer
   x = 78,743.73