Finding the Third Proportional to 11,077.50 and 24,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,077.50 : 24,592.50 = 24,592.50 : x
2. Step 2: Convert to fraction form
   11,077.50/24,592.50 = 24,592.50/x
3. Step 3: Cross multiply
   11,077.50x = 24,592.50 × 24,592.50
4. Step 4: Simplify right side
   11,077.50x = 604,791,056.25
5. Step 5: Solve for x
   x = 604,791,056.25/11,077.50
6. Step 6: Final answer
   x = 54,596.35