Finding the Third Proportional to 43,758 and 65,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,758 : 65,623.50 = 65,623.50 : x
2. Step 2: Convert to fraction form
   43,758/65,623.50 = 65,623.50/x
3. Step 3: Cross multiply
   43,758x = 65,623.50 × 65,623.50
4. Step 4: Simplify right side
   43,758x = 4,306,443,752.25
5. Step 5: Solve for x
   x = 4,306,443,752.25/43,758
6. Step 6: Final answer
   x = 98,415.00