Finding the Third Proportional to 24,080.25 and 35,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,080.25 : 35,422.50 = 35,422.50 : x
2. Step 2: Convert to fraction form
   24,080.25/35,422.50 = 35,422.50/x
3. Step 3: Cross multiply
   24,080.25x = 35,422.50 × 35,422.50
4. Step 4: Simplify right side
   24,080.25x = 1,254,753,506.25
5. Step 5: Solve for x
   x = 1,254,753,506.25/24,080.25
6. Step 6: Final answer
   x = 52,107.16