Finding the Third Proportional to 64,693.50 and 97,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   64,693.50 : 97,256.25 = 97,256.25 : x
2. Step 2: Convert to fraction form
   64,693.50/97,256.25 = 97,256.25/x
3. Step 3: Cross multiply
   64,693.50x = 97,256.25 × 97,256.25
4. Step 4: Simplify right side
   64,693.50x = 9,458,778,164.06
5. Step 5: Solve for x
   x = 9,458,778,164.06/64,693.50
6. Step 6: Final answer
   x = 146,209.10