Finding the Third Proportional to 40,378.50 and 61,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,378.50 : 61,978.50 = 61,978.50 : x
2. Step 2: Convert to fraction form
   40,378.50/61,978.50 = 61,978.50/x
3. Step 3: Cross multiply
   40,378.50x = 61,978.50 × 61,978.50
4. Step 4: Simplify right side
   40,378.50x = 3,841,334,462.25
5. Step 5: Solve for x
   x = 3,841,334,462.25/40,378.50
6. Step 6: Final answer
   x = 95,133.16