Finding the Third Proportional to 23,594 and 51,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,594 : 51,563.50 = 51,563.50 : x
2. Step 2: Convert to fraction form
   23,594/51,563.50 = 51,563.50/x
3. Step 3: Cross multiply
   23,594x = 51,563.50 × 51,563.50
4. Step 4: Simplify right side
   23,594x = 2,658,794,532.25
5. Step 5: Solve for x
   x = 2,658,794,532.25/23,594
6. Step 6: Final answer
   x = 112,689.44