Finding the Third Proportional to 34,635 and 52,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,635 : 52,264.50 = 52,264.50 : x
2. Step 2: Convert to fraction form
   34,635/52,264.50 = 52,264.50/x
3. Step 3: Cross multiply
   34,635x = 52,264.50 × 52,264.50
4. Step 4: Simplify right side
   34,635x = 2,731,577,960.25
5. Step 5: Solve for x
   x = 2,731,577,960.25/34,635
6. Step 6: Final answer
   x = 78,867.56