Finding the Third Proportional to 19,572 and 29,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,572 : 29,779.50 = 29,779.50 : x
2. Step 2: Convert to fraction form
   19,572/29,779.50 = 29,779.50/x
3. Step 3: Cross multiply
   19,572x = 29,779.50 × 29,779.50
4. Step 4: Simplify right side
   19,572x = 886,818,620.25
5. Step 5: Solve for x
   x = 886,818,620.25/19,572
6. Step 6: Final answer
   x = 45,310.58