Finding the Third Proportional to 24,873.75 and 34,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,873.75 : 34,978.50 = 34,978.50 : x
2. Step 2: Convert to fraction form
   24,873.75/34,978.50 = 34,978.50/x
3. Step 3: Cross multiply
   24,873.75x = 34,978.50 × 34,978.50
4. Step 4: Simplify right side
   24,873.75x = 1,223,495,462.25
5. Step 5: Solve for x
   x = 1,223,495,462.25/24,873.75
6. Step 6: Final answer
   x = 49,188.22