Finding the Third Proportional to 55,125 and 85,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,125 : 85,567.50 = 85,567.50 : x
2. Step 2: Convert to fraction form
   55,125/85,567.50 = 85,567.50/x
3. Step 3: Cross multiply
   55,125x = 85,567.50 × 85,567.50
4. Step 4: Simplify right side
   55,125x = 7,321,797,056.25
5. Step 5: Solve for x
   x = 7,321,797,056.25/55,125
6. Step 6: Final answer
   x = 132,821.72