Finding the Third Proportional to 25,264.50 and 34,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,264.50 : 34,978.50 = 34,978.50 : x
2. Step 2: Convert to fraction form
   25,264.50/34,978.50 = 34,978.50/x
3. Step 3: Cross multiply
   25,264.50x = 34,978.50 × 34,978.50
4. Step 4: Simplify right side
   25,264.50x = 1,223,495,462.25
5. Step 5: Solve for x
   x = 1,223,495,462.25/25,264.50
6. Step 6: Final answer
   x = 48,427.46