Finding the Third Proportional to 10,677 and 23,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677 : 23,374.50 = 23,374.50 : x
2. Step 2: Convert to fraction form
   10,677/23,374.50 = 23,374.50/x
3. Step 3: Cross multiply
   10,677x = 23,374.50 × 23,374.50
4. Step 4: Simplify right side
   10,677x = 546,367,250.25
5. Step 5: Solve for x
   x = 546,367,250.25/10,677
6. Step 6: Final answer
   x = 51,172.36