Finding the Third Proportional to 51,820 and 76,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,820 : 76,023.50 = 76,023.50 : x
2. Step 2: Convert to fraction form
   51,820/76,023.50 = 76,023.50/x
3. Step 3: Cross multiply
   51,820x = 76,023.50 × 76,023.50
4. Step 4: Simplify right side
   51,820x = 5,779,572,552.25
5. Step 5: Solve for x
   x = 5,779,572,552.25/51,820
6. Step 6: Final answer
   x = 111,531.70