Finding the Third Proportional to 42,580 and 64,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,580 : 64,459.50 = 64,459.50 : x
2. Step 2: Convert to fraction form
   42,580/64,459.50 = 64,459.50/x
3. Step 3: Cross multiply
   42,580x = 64,459.50 × 64,459.50
4. Step 4: Simplify right side
   42,580x = 4,155,027,140.25
5. Step 5: Solve for x
   x = 4,155,027,140.25/42,580
6. Step 6: Final answer
   x = 97,581.66