Finding the Third Proportional to 11,080 and 24,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,080 : 24,312.50 = 24,312.50 : x
2. Step 2: Convert to fraction form
   11,080/24,312.50 = 24,312.50/x
3. Step 3: Cross multiply
   11,080x = 24,312.50 × 24,312.50
4. Step 4: Simplify right side
   11,080x = 591,097,656.25
5. Step 5: Solve for x
   x = 591,097,656.25/11,080
6. Step 6: Final answer
   x = 53,348.16