Finding the Third Proportional to 19,164 and 29,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,164 : 29,602.50 = 29,602.50 : x
2. Step 2: Convert to fraction form
   19,164/29,602.50 = 29,602.50/x
3. Step 3: Cross multiply
   19,164x = 29,602.50 × 29,602.50
4. Step 4: Simplify right side
   19,164x = 876,308,006.25
5. Step 5: Solve for x
   x = 876,308,006.25/19,164
6. Step 6: Final answer
   x = 45,726.78