Finding the Third Proportional to 25,802.61 and 39,878.10

Step by Step Solution

1. Step 1: Write the proportion equation
   25,802.61 : 39,878.10 = 39,878.10 : x
2. Step 2: Convert to fraction form
   25,802.61/39,878.10 = 39,878.10/x
3. Step 3: Cross multiply
   25,802.61x = 39,878.10 × 39,878.10
4. Step 4: Simplify right side
   25,802.61x = 1,590,263,140.00
5. Step 5: Solve for x
   x = 1,590,263,140.00/25,802.61
6. Step 6: Final answer
   x = 61,631.86