Finding the Third Proportional to 65,139 and 97,870

Step by Step Solution

1. Step 1: Write the proportion equation
   65,139 : 97,870 = 97,870 : x
2. Step 2: Convert to fraction form
   65,139/97,870 = 97,870/x
3. Step 3: Cross multiply
   65,139x = 97,870 × 97,870
4. Step 4: Simplify right side
   65,139x = 9,578,536,900
5. Step 5: Solve for x
   x = 9,578,536,900/65,139
6. Step 6: Final answer
   x = 147,047.65