Finding the Third Proportional to 48,978 and 65,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,978 : 65,569.50 = 65,569.50 : x
2. Step 2: Convert to fraction form
   48,978/65,569.50 = 65,569.50/x
3. Step 3: Cross multiply
   48,978x = 65,569.50 × 65,569.50
4. Step 4: Simplify right side
   48,978x = 4,299,359,330.25
5. Step 5: Solve for x
   x = 4,299,359,330.25/48,978
6. Step 6: Final answer
   x = 87,781.44