Finding the Third Proportional to 65,634 and 97,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,634 : 97,066.50 = 97,066.50 : x
2. Step 2: Convert to fraction form
   65,634/97,066.50 = 97,066.50/x
3. Step 3: Cross multiply
   65,634x = 97,066.50 × 97,066.50
4. Step 4: Simplify right side
   65,634x = 9,421,905,422.25
5. Step 5: Solve for x
   x = 9,421,905,422.25/65,634
6. Step 6: Final answer
   x = 143,552.20