Finding the Third Proportional to 37,672 and 58,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,672 : 58,368.50 = 58,368.50 : x
2. Step 2: Convert to fraction form
   37,672/58,368.50 = 58,368.50/x
3. Step 3: Cross multiply
   37,672x = 58,368.50 × 58,368.50
4. Step 4: Simplify right side
   37,672x = 3,406,881,792.25
5. Step 5: Solve for x
   x = 3,406,881,792.25/37,672
6. Step 6: Final answer
   x = 90,435.38