Finding the Third Proportional to 64,530.50 and 97,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,530.50 : 97,766.50 = 97,766.50 : x
2. Step 2: Convert to fraction form
   64,530.50/97,766.50 = 97,766.50/x
3. Step 3: Cross multiply
   64,530.50x = 97,766.50 × 97,766.50
4. Step 4: Simplify right side
   64,530.50x = 9,558,288,522.25
5. Step 5: Solve for x
   x = 9,558,288,522.25/64,530.50
6. Step 6: Final answer
   x = 148,120.48