Finding the Third Proportional to 35,700.50 and 77,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,700.50 : 77,754.50 = 77,754.50 : x
2. Step 2: Convert to fraction form
   35,700.50/77,754.50 = 77,754.50/x
3. Step 3: Cross multiply
   35,700.50x = 77,754.50 × 77,754.50
4. Step 4: Simplify right side
   35,700.50x = 6,045,762,270.25
5. Step 5: Solve for x
   x = 6,045,762,270.25/35,700.50
6. Step 6: Final answer
   x = 169,346.71