Finding the Third Proportional to 65,311.50 and 97,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,311.50 : 97,714.50 = 97,714.50 : x
2. Step 2: Convert to fraction form
   65,311.50/97,714.50 = 97,714.50/x
3. Step 3: Cross multiply
   65,311.50x = 97,714.50 × 97,714.50
4. Step 4: Simplify right side
   65,311.50x = 9,548,123,510.25
5. Step 5: Solve for x
   x = 9,548,123,510.25/65,311.50
6. Step 6: Final answer
   x = 146,193.60