Finding the Third Proportional to 65,925 and 97,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,925 : 97,654.50 = 97,654.50 : x
2. Step 2: Convert to fraction form
   65,925/97,654.50 = 97,654.50/x
3. Step 3: Cross multiply
   65,925x = 97,654.50 × 97,654.50
4. Step 4: Simplify right side
   65,925x = 9,536,401,370.25
5. Step 5: Solve for x
   x = 9,536,401,370.25/65,925
6. Step 6: Final answer
   x = 144,655.31