Finding the Third Proportional to 64,934.50 and 97,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,934.50 : 97,142.50 = 97,142.50 : x
2. Step 2: Convert to fraction form
   64,934.50/97,142.50 = 97,142.50/x
3. Step 3: Cross multiply
   64,934.50x = 97,142.50 × 97,142.50
4. Step 4: Simplify right side
   64,934.50x = 9,436,665,306.25
5. Step 5: Solve for x
   x = 9,436,665,306.25/64,934.50
6. Step 6: Final answer
   x = 145,325.91