Finding the Third Proportional to 64,051.50 and 102,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,051.50 : 102,322.50 = 102,322.50 : x
2. Step 2: Convert to fraction form
   64,051.50/102,322.50 = 102,322.50/x
3. Step 3: Cross multiply
   64,051.50x = 102,322.50 × 102,322.50
4. Step 4: Simplify right side
   64,051.50x = 10,469,894,006.25
5. Step 5: Solve for x
   x = 10,469,894,006.25/64,051.50
6. Step 6: Final answer
   x = 163,460.56