Finding the Third Proportional to 25,437 and 38,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,437 : 38,914.50 = 38,914.50 : x
2. Step 2: Convert to fraction form
   25,437/38,914.50 = 38,914.50/x
3. Step 3: Cross multiply
   25,437x = 38,914.50 × 38,914.50
4. Step 4: Simplify right side
   25,437x = 1,514,338,310.25
5. Step 5: Solve for x
   x = 1,514,338,310.25/25,437
6. Step 6: Final answer
   x = 59,532.90