Finding the Third Proportional to 68,893.50 and 97,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,893.50 : 97,510.50 = 97,510.50 : x
2. Step 2: Convert to fraction form
   68,893.50/97,510.50 = 97,510.50/x
3. Step 3: Cross multiply
   68,893.50x = 97,510.50 × 97,510.50
4. Step 4: Simplify right side
   68,893.50x = 9,508,297,610.25
5. Step 5: Solve for x
   x = 9,508,297,610.25/68,893.50
6. Step 6: Final answer
   x = 138,014.44