Finding the Third Proportional to 55,140 and 77,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,140 : 77,650.50 = 77,650.50 : x
2. Step 2: Convert to fraction form
   55,140/77,650.50 = 77,650.50/x
3. Step 3: Cross multiply
   55,140x = 77,650.50 × 77,650.50
4. Step 4: Simplify right side
   55,140x = 6,029,600,150.25
5. Step 5: Solve for x
   x = 6,029,600,150.25/55,140
6. Step 6: Final answer
   x = 109,350.75