Finding the Third Proportional to 55,125.50 and 77,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,125.50 : 77,631.50 = 77,631.50 : x
2. Step 2: Convert to fraction form
   55,125.50/77,631.50 = 77,631.50/x
3. Step 3: Cross multiply
   55,125.50x = 77,631.50 × 77,631.50
4. Step 4: Simplify right side
   55,125.50x = 6,026,649,792.25
5. Step 5: Solve for x
   x = 6,026,649,792.25/55,125.50
6. Step 6: Final answer
   x = 109,325.99