Finding the Third Proportional to 31,097 and 66,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,097 : 66,259.50 = 66,259.50 : x
2. Step 2: Convert to fraction form
   31,097/66,259.50 = 66,259.50/x
3. Step 3: Cross multiply
   31,097x = 66,259.50 × 66,259.50
4. Step 4: Simplify right side
   31,097x = 4,390,321,340.25
5. Step 5: Solve for x
   x = 4,390,321,340.25/31,097
6. Step 6: Final answer
   x = 141,181.51