Finding the Third Proportional to 18,090 and 37,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,090 : 37,543.50 = 37,543.50 : x
2. Step 2: Convert to fraction form
   18,090/37,543.50 = 37,543.50/x
3. Step 3: Cross multiply
   18,090x = 37,543.50 × 37,543.50
4. Step 4: Simplify right side
   18,090x = 1,409,514,392.25
5. Step 5: Solve for x
   x = 1,409,514,392.25/18,090
6. Step 6: Final answer
   x = 77,916.77