Finding the Third Proportional to 15,888 and 37,506

Step by Step Solution

1. Step 1: Write the proportion equation
   15,888 : 37,506 = 37,506 : x
2. Step 2: Convert to fraction form
   15,888/37,506 = 37,506/x
3. Step 3: Cross multiply
   15,888x = 37,506 × 37,506
4. Step 4: Simplify right side
   15,888x = 1,406,700,036
5. Step 5: Solve for x
   x = 1,406,700,036/15,888
6. Step 6: Final answer
   x = 88,538.52