Finding the Third Proportional to 25,437 and 39,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,437 : 39,706.50 = 39,706.50 : x
2. Step 2: Convert to fraction form
   25,437/39,706.50 = 39,706.50/x
3. Step 3: Cross multiply
   25,437x = 39,706.50 × 39,706.50
4. Step 4: Simplify right side
   25,437x = 1,576,606,142.25
5. Step 5: Solve for x
   x = 1,576,606,142.25/25,437
6. Step 6: Final answer
   x = 61,980.82