Finding the Third Proportional to 25,269.75 and 38,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,269.75 : 38,677.50 = 38,677.50 : x
2. Step 2: Convert to fraction form
   25,269.75/38,677.50 = 38,677.50/x
3. Step 3: Cross multiply
   25,269.75x = 38,677.50 × 38,677.50
4. Step 4: Simplify right side
   25,269.75x = 1,495,949,006.25
5. Step 5: Solve for x
   x = 1,495,949,006.25/25,269.75
6. Step 6: Final answer
   x = 59,199.20