Finding the Third Proportional to 34,821 and 53,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,821 : 53,047.50 = 53,047.50 : x
2. Step 2: Convert to fraction form
   34,821/53,047.50 = 53,047.50/x
3. Step 3: Cross multiply
   34,821x = 53,047.50 × 53,047.50
4. Step 4: Simplify right side
   34,821x = 2,814,037,256.25
5. Step 5: Solve for x
   x = 2,814,037,256.25/34,821
6. Step 6: Final answer
   x = 80,814.37