Finding the Third Proportional to 55,827 and 87,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,827 : 87,565.50 = 87,565.50 : x
2. Step 2: Convert to fraction form
   55,827/87,565.50 = 87,565.50/x
3. Step 3: Cross multiply
   55,827x = 87,565.50 × 87,565.50
4. Step 4: Simplify right side
   55,827x = 7,667,716,790.25
5. Step 5: Solve for x
   x = 7,667,716,790.25/55,827
6. Step 6: Final answer
   x = 137,347.82