Finding the Third Proportional to 27,634.50 and 42,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,634.50 : 42,529.50 = 42,529.50 : x
2. Step 2: Convert to fraction form
   27,634.50/42,529.50 = 42,529.50/x
3. Step 3: Cross multiply
   27,634.50x = 42,529.50 × 42,529.50
4. Step 4: Simplify right side
   27,634.50x = 1,808,758,370.25
5. Step 5: Solve for x
   x = 1,808,758,370.25/27,634.50
6. Step 6: Final answer
   x = 65,452.91