Finding the Third Proportional to 55,549.50 and 83,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,549.50 : 83,814.50 = 83,814.50 : x
2. Step 2: Convert to fraction form
   55,549.50/83,814.50 = 83,814.50/x
3. Step 3: Cross multiply
   55,549.50x = 83,814.50 × 83,814.50
4. Step 4: Simplify right side
   55,549.50x = 7,024,870,410.25
5. Step 5: Solve for x
   x = 7,024,870,410.25/55,549.50
6. Step 6: Final answer
   x = 126,461.45