Finding the Third Proportional to 51,642 and 76,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,642 : 76,501.50 = 76,501.50 : x
2. Step 2: Convert to fraction form
   51,642/76,501.50 = 76,501.50/x
3. Step 3: Cross multiply
   51,642x = 76,501.50 × 76,501.50
4. Step 4: Simplify right side
   51,642x = 5,852,479,502.25
5. Step 5: Solve for x
   x = 5,852,479,502.25/51,642
6. Step 6: Final answer
   x = 113,327.90