Finding the Third Proportional to 36,349.50 and 77,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,349.50 : 77,014.50 = 77,014.50 : x
2. Step 2: Convert to fraction form
   36,349.50/77,014.50 = 77,014.50/x
3. Step 3: Cross multiply
   36,349.50x = 77,014.50 × 77,014.50
4. Step 4: Simplify right side
   36,349.50x = 5,931,233,210.25
5. Step 5: Solve for x
   x = 5,931,233,210.25/36,349.50
6. Step 6: Final answer
   x = 163,172.35