Finding the Third Proportional to 65,013 and 97,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,013 : 97,072.50 = 97,072.50 : x
2. Step 2: Convert to fraction form
   65,013/97,072.50 = 97,072.50/x
3. Step 3: Cross multiply
   65,013x = 97,072.50 × 97,072.50
4. Step 4: Simplify right side
   65,013x = 9,423,070,256.25
5. Step 5: Solve for x
   x = 9,423,070,256.25/65,013
6. Step 6: Final answer
   x = 144,941.32