Finding the Third Proportional to 55,101 and 85,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,101 : 85,162.50 = 85,162.50 : x
2. Step 2: Convert to fraction form
   55,101/85,162.50 = 85,162.50/x
3. Step 3: Cross multiply
   55,101x = 85,162.50 × 85,162.50
4. Step 4: Simplify right side
   55,101x = 7,252,651,406.25
5. Step 5: Solve for x
   x = 7,252,651,406.25/55,101
6. Step 6: Final answer
   x = 131,624.68