Finding the Third Proportional to 65,727 and 102,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,727 : 102,970.50 = 102,970.50 : x
2. Step 2: Convert to fraction form
   65,727/102,970.50 = 102,970.50/x
3. Step 3: Cross multiply
   65,727x = 102,970.50 × 102,970.50
4. Step 4: Simplify right side
   65,727x = 10,602,923,870.25
5. Step 5: Solve for x
   x = 10,602,923,870.25/65,727
6. Step 6: Final answer
   x = 161,317.63