Finding the Third Proportional to 61,546.50 and 96,423.75

Step by Step Solution

1. Step 1: Write the proportion equation
   61,546.50 : 96,423.75 = 96,423.75 : x
2. Step 2: Convert to fraction form
   61,546.50/96,423.75 = 96,423.75/x
3. Step 3: Cross multiply
   61,546.50x = 96,423.75 × 96,423.75
4. Step 4: Simplify right side
   61,546.50x = 9,297,539,564.06
5. Step 5: Solve for x
   x = 9,297,539,564.06/61,546.50
6. Step 6: Final answer
   x = 151,065.29