Finding the Third Proportional to 34,120.50 and 52,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,120.50 : 52,261.50 = 52,261.50 : x
2. Step 2: Convert to fraction form
   34,120.50/52,261.50 = 52,261.50/x
3. Step 3: Cross multiply
   34,120.50x = 52,261.50 × 52,261.50
4. Step 4: Simplify right side
   34,120.50x = 2,731,264,382.25
5. Step 5: Solve for x
   x = 2,731,264,382.25/34,120.50
6. Step 6: Final answer
   x = 80,047.61