Finding the Third Proportional to 64,534.50 and 96,828.75

Step by Step Solution

1. Step 1: Write the proportion equation
   64,534.50 : 96,828.75 = 96,828.75 : x
2. Step 2: Convert to fraction form
   64,534.50/96,828.75 = 96,828.75/x
3. Step 3: Cross multiply
   64,534.50x = 96,828.75 × 96,828.75
4. Step 4: Simplify right side
   64,534.50x = 9,375,806,826.56
5. Step 5: Solve for x
   x = 9,375,806,826.56/64,534.50
6. Step 6: Final answer
   x = 145,283.64