Finding the Third Proportional to 24,801 and 51,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,801 : 51,607.50 = 51,607.50 : x
2. Step 2: Convert to fraction form
   24,801/51,607.50 = 51,607.50/x
3. Step 3: Cross multiply
   24,801x = 51,607.50 × 51,607.50
4. Step 4: Simplify right side
   24,801x = 2,663,334,056.25
5. Step 5: Solve for x
   x = 2,663,334,056.25/24,801
6. Step 6: Final answer
   x = 107,388.17