Finding the Third Proportional to 43,769 and 65,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,769 : 65,637.50 = 65,637.50 : x
2. Step 2: Convert to fraction form
   43,769/65,637.50 = 65,637.50/x
3. Step 3: Cross multiply
   43,769x = 65,637.50 × 65,637.50
4. Step 4: Simplify right side
   43,769x = 4,308,281,406.25
5. Step 5: Solve for x
   x = 4,308,281,406.25/43,769
6. Step 6: Final answer
   x = 98,432.26