Finding the Third Proportional to 19,566 and 42,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,566 : 42,322.50 = 42,322.50 : x
2. Step 2: Convert to fraction form
   19,566/42,322.50 = 42,322.50/x
3. Step 3: Cross multiply
   19,566x = 42,322.50 × 42,322.50
4. Step 4: Simplify right side
   19,566x = 1,791,194,006.25
5. Step 5: Solve for x
   x = 1,791,194,006.25/19,566
6. Step 6: Final answer
   x = 91,546.25